Least Common Multiple of 564, 371, 924

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 564, 371, 924 i.e. 2301684 smallest integer divisible by all numbers.

Least common multiple (LCM) of 564, 371, 924 is 2301684.

LCM(564, 371, 924) = 2301684

LCM of 564, 371, 924

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

LCM of:

Least Common Multiple of 564,371,924

Least Common Multiple (LCM) of 564,371,924 is 2301684

2 564, 371, 924
2 282, 371, 462
3 141, 371, 231
7 47, 371, 77
47, 53, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 47 x 53 x 11 = 2301684

Least Common Multiple of 564,371,924 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 564,371,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,371,924) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(564,371,924) x common factors =1 x 84 = 84

LCM(564,371,924) = ( 564 × 371 × 924 ) / 84

LCM(564,371,924) = 193341456 / 84

LCM(564,371,924) = 2301684

∴ Least Common Multiple of 564,371,924 is 2301684

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 564, 371, 924

1. What is the LCM of 564, 371, 924?

Answer: LCM of 564, 371, 924 is 2301684.

2. What are the Factors of 2301684?

Answer: Factors of 2301684 are . There are integers that are factors of 2301684

3. How to Find the LCM of 564, 371, 924 ?

Least Common Multiple of 564, 371, 924.

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(564, 371, 924) = 2 x 2 x 3 x 7 x 11 x 47 x 53 = 2301684.