The smallest number other than zero that is the common multiple of any two or more given natural numbers are termed as lcm. Jan 31, 2017 highest common factor hcf the hcf of two or more than two numbers is the greatest number that divides each of them exactly. Where difference divisor remainder to find the smallest such number put k 1. Application of lcm and hcf definition, relation, solved. Hcf is the greatest factor common to any two or more natural numbers and lcm is the lowest common multiple of any two or more natural numbers.
It is very helpful for various type of exam like ssc cgl, chsl, rrb, insurance, bank exams and other competitive exams. Here is the shortcut to find hcf and lcm of 24 and 60. Find the smallest number which, on being added 23 to it, is exactly divisible by 32, 36, 48 and 96. F of two or more numbers is smaller than or equal to the smallest number of given numbers. The quantitative aptitude section plays a very significant role for any government or competitive examinations. It only needs one input value to find the hcf and lcm simultaneously note. Hcf and lcm formula shortcut tricks with examples to.
These worksheets cover most lch and hcf subtopics and are were also conceived in line with common core state standards. So, we adopt some shortcut for finding the hcf of a set of numbers. A multiple of a number is a number which is exactly divisible by the number. To find the greatest number that will exactly divide x, y and z. The least common multiple of 2 or more numbers is the smallest multiple of the common multiples.
In next class hcf and lcm on problems on remainders find the greatest number of 5digits which on being divided by 9, 12, 24 and 45 leaves 3, 6, 18 and 39 as remainders respectively. Aspirants who are preparing for the different competitive exams like bank,ssc, railway, cat, mat, state level and central level exam, are required to focus on the quantitative section also to crack the exams. Lcm and hcf shortcuts gr8ambitionz prepare for ibps po x. The numbers that are multiplied together are called factors of the final number. Hcf and lcm formulas, solved examples pdf download.
Type 1 when various number a, b, c is divided by number n and gives the same remainder r in each case. Tips, tricks and shortcuts when sum of two numbers is given, lcm and hcf is given to find the sum of reciprocals. Product of two numbers first number x second number h. Therefore, the lcm of 5,000,000 and 256 is 20,000,000. Shortcut of hcf finding the hcf of a set of numbers is however extremely difficult and time taking, through the prime number approach that was discussed previously. Hcf calculator is a multiservice tool that finds the highest common factor and lowest common factor of the given numbers at the same time. Lcm and hcf shortcut tricks and formulas previous papers. Prime number is a number which has no factors except itself and unity ex. Follow these simple steps to make even questions involving large numbers succumb to your charms. The concepts are also helpful in solving some questions from arithmetic. The product of two numbers is equal to the product of their hcf and lcm. If the lcm and hcf of two numbers are 72 and 12 respectively. The common multiples of 3 and 4 are 12,24 and so on.
Express the given numbers as product of their prime factors. Using idea of coprime, you can find the lcm by the following shortcut method. Tips and tricks and shortcuts on hcf and lcm problems prepinsta. Hcf and lcm formula shortcut tricks with examples to find. Pdf teaching strategies in the learning of highest. All names are used to represent a similar method of finding the highest or greatest common factor. Page 1 of 1 in this pdf we will discuss questions based on the concept of l. Lcm shortcutstricks for big numberslarge numbers lcm. Lcm and hcf section is very important part of all competitive exams. Hcf of fraction hcf of numerator lcm of denominator. M quiz questions with answers as pdf files and ebooks. Lcm of 9, 10, 15 and 36 can be written directly as 9.
Lcm of fraction lcm of numerator hcf of denominator. Prek, kindergarten,1 st grade, 2 nd grade, 3 rd grade, 4 th grade, 5 th grade, 6 th grade and 7 th grade. Highest factor which divides all the given numbers is the hcf. The venn diagram shown below clearly illustrates how to easily find hcf and lcm of 24 and 60. Mar 23, 2018 1 hcf lcm of two numbers product of two numbers. How to find out lcm using division method shortcut. Selina solutions concise mathematics class 6 chapter 8 hcf. Tips and tricks and shortcuts on hcf and lcm problems.
If you can see a set of 2 or more coprime numbers in the set of numbers of which you are finding the lcm, write them down by multiply them. The following steps will be useful for finding hcf and lcm using a venn diagram. Lcm is also important for circular racetracks, bells, blinking lights, etc. Lcm and hcf short tricks with examples bankexamstoday. The smallest number which is exactly divisible by a, b and c is l. Write down two possible numbers that helen could be thinking of.
Learn the shortcut methods to find hcf and lcm of two or more numbers with the help of problems and. Lcm and hcf have an interesting correlation between them. The highest common factor hcf of her two numbers is 5. The greatest factor which is common to any two or more given natural numbers is termed as hcf of given numbers. The highest common factor of two or more numbers is the greatest number which divides each of them exactly. There are two types of question usually asked in the examination based on h. To find the hcf of any number of given numbers, first find the difference between two nearest given numbers. First of all the given fraction are expressed in their lowest terms. Lcm and hcf shortcuts, formulas and tricks ssc notes.
Mar 25, 2019 basics of hcf and lcm aptitude concepts. The least common multiple lcm of two or more integers is the smallest integer that. The hcf and lcm of two numbers are 12 and 72 respectively. Hcf and lcm aptitude typewise questions answers test. Hcf and lcm shortcuts in tamil tnpsc study materials. Hcf and lcm shortcuts in tamil hcf and lcm shortcuts hcf and lcm tricks hcf and lcm tricks and tips. Difficult questions on hcf and lcm and its explanation with examples.
Express each one of the given numbers as the product of prime factors. Step by step solutions helps students in clearing their doubts, which appear while solving textbook questions. Lcm and hcf formulas, shortcuts and tricks with examples. The hcf of two or more fractions is the highest fraction which is exactly divisible by each of the fraction. Lecture notes for hcf and lcm shortcut for finding factors of a number for finding the factors of a number, first, we must.
Read and checkout the steps to find hcf and lcm with sloved examples. Hcf and lcm important formulas, shortcut methods and tricks. Quantitative aptitude lcm hcf problems pdf download with. Largest number which divides x,y,z to leave same remainder a,b,c hcf of xa, yb, zc. It only needs one input value to find the hcf and lcm simultaneously.
To put simply, hcf of two or more numbers is the highest number that divides each of the numbers completely. Lcm is important for time and speed, time and work problems. O aptitude in tamiltnpsc maths test batch how to registers. Composite number is a number which has other factors besides itself and unity ex.
To find the largest number that will divide x, y and z leaving remainders a, b and c respectively. Concept of lcm, hcf important for number theory and remainder based problems generally asked in ssc cgl, cat. If one of the numbers is 15, find the other number. M of two or more numbers is greater than or equal to the greatest number of given numbers. Welcome to the lets study together online free pdf section. A number may be made by multiplying two or more other numbers together. Lcm of numbers where one of them is divisible by all others will be. Lcm and hcf tricks, problems and formulas bankexamstoday. Lcm and hcf light speed lcm and hcf of primes understand lcm product of primes, 17, 11. The product of lcm and hcf of any two given numbers is equivalent to the product of the given numbers.
Lcm and hcf shortcuts, formulas and tricks hello friends, today we are sharing lcm and hcf shortcuts, formulas and tricks pdf. In fact, there is a shortcut when calculating hcf and lcm with the use of either continuous division or factor. Hcf and lcm aptitude tricks hcf kaise nikalte hai hcf and lcm. Hcf and lcm based problems and equations, formulas. Then find all factors or divisors of this difference.
All names are used to represent a similar method of finding the highest or greatest common factordivisor. The hcf can found in the following two ways prime factorization method. We apply direct formulas and tricks to solve most of hcf and lcm based of questions. Lcm lcm tricks shortcuts for large numbers lcm by prime f. When numbers are divided by their hcf, the quotients have no common factors understand. As we all know in many competitive exams like ssc, railways. Hcf and lcm concepts formulas and problems for cat exam. D of two or more numbers is the greatest number which divides each of them exactly. A,b we can also write the above formula in terms of hcf and lcm, such as. The numbers which exactly divide a given number are called the factors of that number. Jul 16, 2020 if h is the hcf of two numbers and l is the lcm of these numbers, then there must exist pairs of coprime numbers say a and b such that. Lcm and hcf worksheets pdf printable lowest common multiple and greatest common factor math worksheets for children in.
The product of least powers of common prime factor gives hcf example. Tricks to solve questions on lcm and hcf in ssc cgl exam. Trick 32 shortcuts for hcf and lcm problems youtube. Dear readers, we provide you lcm and hcf questions pdf ssc chsl you all know that speed in calculation sets the complete base for quantitative aptitude section lcm and hcf questions pdf ssc chsl of various competitive exams. Hello friends, today we are sharing lcm and hcf shortcuts, formulas and tricks pdf. The following steps will be useful for finding hcf and lcm. In this video we have discuss different approach to find lcm of big numbers in just 10 seconds. Hcf and lcm are two important conceptschildren should be very clear about these conceptsstudents preparing for competitive. Hence, product of two numbers hcf lcm of the two numbers.
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