Formulas To Solve LCM Questions
Definition & Formula
LCM: Least Common Multiple is a number which is multiple of two or more than two numbers.
- LCM of fractions = L.C.M of numerators/ H.C.F of denominators.
- The least common multiple (LCM) of 2 numbers is the smallest number that they both divide evenly into.
- Read Also – Tips & tricks to solve LCM questions

Methods to calculate LCM
Prime factorization
We multiply the prime factors with the highest powers to get the LCM.
For example: Find the LCM of 12 and 30
Prime factorization of 12 = 2 * 2 * 3 = 22 * 31 * 50
Prime factorization of 30 = 2 * 3 * 5 = 21 * 31 * 51
Highest exponent value we take 22 * 31 * 51 = 60
Therefore,LCM (12, 30) = 60
- Line division
The LCM (12, 30) = 22 * 31 * 51 = 60