Least Common Multiple of 120, 924, 756

Q: How to Find the LCM of 120, 924, 756 ?

Least Common Multiple of 120, 924, 756 = 83160 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(120, 924, 756) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 = 83160.

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 120, 924, 756 i.e. 83160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 120, 924, 756 is 83160.

LCM(120, 924, 756) = 83160

LCM of 120, 924, 756

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

Least Common Multiple of 120, 924, 756 by common division method
Least Common Multiple of 120, 924, 756 with GCF Formula

Least Common Multiple of 120,924,756

Least Common Multiple (LCM) of 120,924,756 is 83160

2	120, 924, 756
2	60, 462, 378
3	30, 231, 189
7	10, 77, 63
	10, 11, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 10 x 11 x 9 = 83160

Least Common Multiple of 120,924,756 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 120,924,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,924,756) = 12

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

GCF(120,924,756) x common factors =12 x 84 = 1008

LCM(120,924,756) = ( 120 × 924 × 756 ) / 1008

LCM(120,924,756) = 83825280 / 1008

LCM(120,924,756) = 83160

∴ Least Common Multiple of 120,924,756 is 83160

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 120, 924, 756

1. What is the LCM of 120, 924, 756?

Answer: LCM of 120, 924, 756 is 83160.

2. What are the Factors of 83160?

Answer: Factors of 83160 are . There are integers that are factors of 83160

3. How to Find the LCM of 120, 924, 756 ?

Least Common Multiple of 120, 924, 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(120, 924, 756) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 = 83160.