Least Common Multiple of 564, 564, 364

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, 564, 364 i.e. 51324 smallest integer divisible by all numbers.

Least common multiple (LCM) of 564, 564, 364 is 51324.

LCM(564, 564, 364) = 51324

LCM of 564, 564, 364

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

LCM of:

Least Common Multiple of 564,564,364

Least Common Multiple (LCM) of 564,564,364 is 51324

2 564, 564, 364
2 282, 282, 182
3 141, 141, 91
47 47, 47, 91
1, 1, 91

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 1 x 1 x 91 = 51324

Least Common Multiple of 564,564,364 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 564,564,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,564,364) = 4

common factors(in case of two or more numbers have common factors) = 564

GCF(564,564,364) x common factors =4 x 564 = 2256

LCM(564,564,364) = ( 564 × 564 × 364 ) / 2256

LCM(564,564,364) = 115786944 / 2256

LCM(564,564,364) = 51324

∴ Least Common Multiple of 564,564,364 is 51324

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 564, 564, 364

1. What is the LCM of 564, 564, 364?

Answer: LCM of 564, 564, 364 is 51324.

2. What are the Factors of 51324?

Answer: Factors of 51324 are . There are integers that are factors of 51324

3. How to Find the LCM of 564, 564, 364 ?

Least Common Multiple of 564, 564, 364.

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, 564, 364) = 2 x 2 x 3 x 7 x 13 x 47 = 51324.