Least Common Multiple of 502, 680, 977, 374, 312

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 502, 680, 977, 374, 312 i.e. 71537620440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 502, 680, 977, 374, 312 is 71537620440.

LCM(502, 680, 977, 374, 312) = 71537620440

LCM of 502, 680, 977, 374, 312

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

LCM of:

Least Common Multiple of 502,680,977,374,312

Least Common Multiple (LCM) of 502,680,977,374,312 is 71537620440

2 502, 680, 977, 374, 312
2 251, 340, 977, 187, 156
2 251, 170, 977, 187, 78
17 251, 85, 977, 187, 39
251, 5, 977, 11, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 251 x 5 x 977 x 11 x 39 = 71537620440

Least Common Multiple of 502,680,977,374,312 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 502,680,977,374,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,680,977,374,312) = 1

common factors(in case of two or more numbers have common factors) = 544

GCF(502,680,977,374,312) x common factors =1 x 544 = 544

LCM(502,680,977,374,312) = ( 502 × 680 × 977 × 374 × 312 ) / 544

LCM(502,680,977,374,312) = 38916465519360 / 544

LCM(502,680,977,374,312) = 71537620440

∴ Least Common Multiple of 502,680,977,374,312 is 71537620440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 502, 680, 977, 374, 312

1. What is the LCM of 502, 680, 977, 374, 312?

Answer: LCM of 502, 680, 977, 374, 312 is 71537620440.

2. What are the Factors of 71537620440?

Answer: Factors of 71537620440 are . There are integers that are factors of 71537620440

3. How to Find the LCM of 502, 680, 977, 374, 312 ?

Least Common Multiple of 502, 680, 977, 374, 312.

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(502, 680, 977, 374, 312) = 2 x 2 x 2 x 3 x 5 x 11 x 13 x 17 x 251 x 977 = 71537620440.