Least Common Multiple of 564, 351, 331

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, 351, 331 i.e. 21842028 smallest integer divisible by all numbers.

Least common multiple (LCM) of 564, 351, 331 is 21842028.

LCM(564, 351, 331) = 21842028

LCM of 564, 351, 331

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

LCM of:

Least Common Multiple of 564,351,331

Least Common Multiple (LCM) of 564,351,331 is 21842028

3 564, 351, 331
188, 117, 331

∴ So the LCM of the given numbers is 3 x 188 x 117 x 331 = 21842028

Least Common Multiple of 564,351,331 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 564,351,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,351,331) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(564,351,331) x common factors =1 x 3 = 3

LCM(564,351,331) = ( 564 × 351 × 331 ) / 3

LCM(564,351,331) = 65526084 / 3

LCM(564,351,331) = 21842028

∴ Least Common Multiple of 564,351,331 is 21842028

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, 351, 331

1. What is the LCM of 564, 351, 331?

Answer: LCM of 564, 351, 331 is 21842028.

2. What are the Factors of 21842028?

Answer: Factors of 21842028 are . There are integers that are factors of 21842028

3. How to Find the LCM of 564, 351, 331 ?

Least Common Multiple of 564, 351, 331.

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, 351, 331) = 2 x 2 x 3 x 3 x 3 x 13 x 47 x 331 = 21842028.