Least Common Multiple of 252, 189, 972

Q: How to Find the LCM of 252, 189, 972 ?

Least Common Multiple of 252, 189, 972 = 6804 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(252, 189, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 = 6804.

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 252, 189, 972 i.e. 6804 smallest integer divisible by all numbers.

Least common multiple (LCM) of 252, 189, 972 is 6804.

LCM(252, 189, 972) = 6804

LCM of 252, 189, 972

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

Least Common Multiple of 252, 189, 972 by common division method
Least Common Multiple of 252, 189, 972 with GCF Formula

Least Common Multiple of 252,189,972

Least Common Multiple (LCM) of 252,189,972 is 6804

2	252, 189, 972
2	126, 189, 486
3	63, 189, 243
3	21, 63, 81
3	7, 21, 27
7	7, 7, 9
	1, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 7 x 1 x 1 x 9 = 6804

Least Common Multiple of 252,189,972 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 252,189,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,189,972) = 9

common factors(in case of two or more numbers have common factors) = 756

GCF(252,189,972) x common factors =9 x 756 = 6804

LCM(252,189,972) = ( 252 × 189 × 972 ) / 6804

LCM(252,189,972) = 46294416 / 6804

LCM(252,189,972) = 6804

∴ Least Common Multiple of 252,189,972 is 6804

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 252, 189, 972

1. What is the LCM of 252, 189, 972?

Answer: LCM of 252, 189, 972 is 6804.

2. What are the Factors of 6804?

Answer: Factors of 6804 are . There are integers that are factors of 6804

3. How to Find the LCM of 252, 189, 972 ?

Least Common Multiple of 252, 189, 972.

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(252, 189, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 = 6804.