Least Common Multiple of 972, 171, 187, 344, 393

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 972, 171, 187, 344, 393 i.e. 38907311256 smallest integer divisible by all numbers.

Least common multiple (LCM) of 972, 171, 187, 344, 393 is 38907311256.

LCM(972, 171, 187, 344, 393) = 38907311256

LCM of 972, 171, 187, 344, 393

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

LCM of:

Least Common Multiple of 972,171,187,344,393

Least Common Multiple (LCM) of 972,171,187,344,393 is 38907311256

2 972, 171, 187, 344, 393
2 486, 171, 187, 172, 393
3 243, 171, 187, 86, 393
3 81, 57, 187, 86, 131
27, 19, 187, 86, 131

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 27 x 19 x 187 x 86 x 131 = 38907311256

Least Common Multiple of 972,171,187,344,393 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 972,171,187,344,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,171,187,344,393) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(972,171,187,344,393) x common factors =1 x 108 = 108

LCM(972,171,187,344,393) = ( 972 × 171 × 187 × 344 × 393 ) / 108

LCM(972,171,187,344,393) = 4201989615648 / 108

LCM(972,171,187,344,393) = 38907311256

∴ Least Common Multiple of 972,171,187,344,393 is 38907311256

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 972, 171, 187, 344, 393

1. What is the LCM of 972, 171, 187, 344, 393?

Answer: LCM of 972, 171, 187, 344, 393 is 38907311256.

2. What are the Factors of 38907311256?

Answer: Factors of 38907311256 are . There are integers that are factors of 38907311256

3. How to Find the LCM of 972, 171, 187, 344, 393 ?

Least Common Multiple of 972, 171, 187, 344, 393.

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(972, 171, 187, 344, 393) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 17 x 19 x 43 x 131 = 38907311256.