Least Common Multiple of 756, 378, 531, 249, 854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 756, 378, 531, 249, 854 i.e. 225830052 smallest integer divisible by all numbers.

Least common multiple (LCM) of 756, 378, 531, 249, 854 is 225830052.

LCM(756, 378, 531, 249, 854) = 225830052

LCM of 756, 378, 531, 249, 854

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 756,378,531,249,854

Least Common Multiple (LCM) of 756,378,531,249,854 is 225830052

2 756, 378, 531, 249, 854
3 378, 189, 531, 249, 427
3 126, 63, 177, 83, 427
3 42, 21, 59, 83, 427
7 14, 7, 59, 83, 427
2, 1, 59, 83, 61

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 2 x 1 x 59 x 83 x 61 = 225830052

Least Common Multiple of 756,378,531,249,854 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 756,378,531,249,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,378,531,249,854) = 1

common factors(in case of two or more numbers have common factors) = 142884

GCF(756,378,531,249,854) x common factors =1 x 142884 = 142884

LCM(756,378,531,249,854) = ( 756 × 378 × 531 × 249 × 854 ) / 142884

LCM(756,378,531,249,854) = 32267501149968 / 142884

LCM(756,378,531,249,854) = 225830052

∴ Least Common Multiple of 756,378,531,249,854 is 225830052

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 756, 378, 531, 249, 854

1. What is the LCM of 756, 378, 531, 249, 854?

Answer: LCM of 756, 378, 531, 249, 854 is 225830052.

2. What are the Factors of 225830052?

Answer: Factors of 225830052 are . There are integers that are factors of 225830052

3. How to Find the LCM of 756, 378, 531, 249, 854 ?

Least Common Multiple of 756, 378, 531, 249, 854.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(756, 378, 531, 249, 854) = 2 x 2 x 3 x 3 x 3 x 7 x 59 x 61 x 83 = 225830052.