Least Common Multiple of 338, 970, 748, 204, 379

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 338, 970, 748, 204, 379 i.e. 69709265340 smallest integer divisible by all numbers.

Least common multiple (LCM) of 338, 970, 748, 204, 379 is 69709265340.

LCM(338, 970, 748, 204, 379) = 69709265340

LCM of 338, 970, 748, 204, 379

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

LCM of:

Least Common Multiple of 338,970,748,204,379

Least Common Multiple (LCM) of 338,970,748,204,379 is 69709265340

2 338, 970, 748, 204, 379
2 169, 485, 374, 102, 379
17 169, 485, 187, 51, 379
169, 485, 11, 3, 379

∴ So the LCM of the given numbers is 2 x 2 x 17 x 169 x 485 x 11 x 3 x 379 = 69709265340

Least Common Multiple of 338,970,748,204,379 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 338,970,748,204,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,970,748,204,379) = 1

common factors(in case of two or more numbers have common factors) = 272

GCF(338,970,748,204,379) x common factors =1 x 272 = 272

LCM(338,970,748,204,379) = ( 338 × 970 × 748 × 204 × 379 ) / 272

LCM(338,970,748,204,379) = 18960920172480 / 272

LCM(338,970,748,204,379) = 69709265340

∴ Least Common Multiple of 338,970,748,204,379 is 69709265340

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 338, 970, 748, 204, 379

1. What is the LCM of 338, 970, 748, 204, 379?

Answer: LCM of 338, 970, 748, 204, 379 is 69709265340.

2. What are the Factors of 69709265340?

Answer: Factors of 69709265340 are . There are integers that are factors of 69709265340

3. How to Find the LCM of 338, 970, 748, 204, 379 ?

Least Common Multiple of 338, 970, 748, 204, 379.

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(338, 970, 748, 204, 379) = 2 x 2 x 3 x 5 x 11 x 13 x 13 x 17 x 97 x 379 = 69709265340.