# Formulas To Solve LCM & HCF Questions

## Definition

HCF – Highest Common Factor (HCF) of two or more numbers is the greatest number which divides each of them exactly.

LCM – The least number which is exactly divisible by each one of the given numbers is called their L.C.M.

How To Find Out LCM:

Method 1: Prime Factorization Method

• Factorize all numbers into their prime factors
• Make a note of all the distinct factors
• Raise each factor to the maximum power present and multiply them all

How To Find Out HCF:

Method 1: Prime Factorization Method-

• Factorize all numbers into their prime factors
• Make a note of all the distinct factors present in all three numbers
• Raise each factor to the minimum power present and multiply them all ### Formula

• Product of two numbers = Product of their H.C.F. and L.C.M
• Co-primes: Two numbers are said to be co-primes if their H.C.F. is 1
• HCM and LCM of fraction
• HCF = HCF of Numerator/LCM of Denominators.
• LCM = LCM of Numerator/HCF of Denominators.
• LCM ≥ Numbers ≥ HCF
LCM is a multiple of HCF