Least Common Multiple of 876, 432, 756

Q: How to Find the LCM of 876, 432, 756 ?

Least Common Multiple of 876, 432, 756 = 220752 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(876, 432, 756) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 73 = 220752.

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 876, 432, 756 i.e. 220752 smallest integer divisible by all numbers.

Least common multiple (LCM) of 876, 432, 756 is 220752.

LCM(876, 432, 756) = 220752

LCM of 876, 432, 756

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

Least Common Multiple of 876, 432, 756 by common division method
Least Common Multiple of 876, 432, 756 with GCF Formula

Least Common Multiple of 876,432,756

Least Common Multiple (LCM) of 876,432,756 is 220752

2	876, 432, 756
2	438, 216, 378
3	219, 108, 189
3	73, 36, 63
3	73, 12, 21
	73, 4, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 73 x 4 x 7 = 220752

Least Common Multiple of 876,432,756 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 876,432,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,432,756) = 12

common factors(in case of two or more numbers have common factors) = 108

GCF(876,432,756) x common factors =12 x 108 = 1296

LCM(876,432,756) = ( 876 × 432 × 756 ) / 1296

LCM(876,432,756) = 286094592 / 1296

LCM(876,432,756) = 220752

∴ Least Common Multiple of 876,432,756 is 220752

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 876, 432, 756

1. What is the LCM of 876, 432, 756?

Answer: LCM of 876, 432, 756 is 220752.

2. What are the Factors of 220752?

Answer: Factors of 220752 are . There are integers that are factors of 220752

3. How to Find the LCM of 876, 432, 756 ?

Least Common Multiple of 876, 432, 756.

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(876, 432, 756) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 73 = 220752.