Asked by: Stefan Caricol
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How do you calculate HCF and LCM?

Last Updated: 18th February, 2020

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The highest common factor is found by multiplying allthe factors which appear in both lists: So the HCF of 60 and72 is 2 × 2 × 3 which is 12. The lowest common multipleis found by multiplying all the factors which appear in eitherlist: So the LCM of 60 and 72 is 2 × 2 × 2× 3 × 3 × 5 which is 360.

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Also, how do you calculate HCF?

The product of least powers of common prime factorsgives HCF. Division Method: Two find the HCF of twogiven numbers, divide the largest by the small number, then dividethe dividend by the remainder.

One may also ask, what is the HCF of 24 and 36? Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and36. Therefore, common factor of 24 and 36 = 1, 2, 3,4, 6, 8 and 12. Highest common factor (H.C.F) of 24 and 36 =12. To find Highest Common Factor by using Prime FactorizationMethod.

In this regard, how is LCF calculated?

One way to find the least common multiple of two numbersis to first list the prime factors of each number. Then multiplyeach factor the greatest number of times it occurs in eithernumber. If the same factor occurs more than once in both numbers,you multiply the factor the greatest number of times itoccurs.

What is HCF example?

For example, LCM of 10, 15, and 20 is 60. HighestCommon Factor (HCF): The largest or greatest factor commonto any two or more given natural numbers is termed as HCF ofgiven numbers. Also known as GCD (Greatest Common Divisor). Forexample, HCF of 4, 6 and 8 is 2.

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