Least Common Multiple of 117, 312, 872

Q: How to Find the LCM of 117, 312, 872 ?

Least Common Multiple of 117, 312, 872 = 102024 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(117, 312, 872) = 2 x 2 x 2 x 3 x 3 x 13 x 109 = 102024.

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 117, 312, 872 i.e. 102024 smallest integer divisible by all numbers.

Least common multiple (LCM) of 117, 312, 872 is 102024.

LCM(117, 312, 872) = 102024

LCM of 117, 312, 872

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

Least Common Multiple of 117, 312, 872 by common division method
Least Common Multiple of 117, 312, 872 with GCF Formula

Least Common Multiple of 117,312,872

Least Common Multiple (LCM) of 117,312,872 is 102024

2	117, 312, 872
2	117, 156, 436
2	117, 78, 218
3	117, 39, 109
13	13, 39, 109
	1, 3, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 1 x 3 x 109 = 102024

Least Common Multiple of 117,312,872 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 117,312,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,312,872) = 1

common factors(in case of two or more numbers have common factors) = 312

GCF(117,312,872) x common factors =1 x 312 = 312

LCM(117,312,872) = ( 117 × 312 × 872 ) / 312

LCM(117,312,872) = 31831488 / 312

LCM(117,312,872) = 102024

∴ Least Common Multiple of 117,312,872 is 102024

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 117, 312, 872

1. What is the LCM of 117, 312, 872?

Answer: LCM of 117, 312, 872 is 102024.

2. What are the Factors of 102024?

Answer: Factors of 102024 are . There are integers that are factors of 102024

3. How to Find the LCM of 117, 312, 872 ?

Least Common Multiple of 117, 312, 872.

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(117, 312, 872) = 2 x 2 x 2 x 3 x 3 x 13 x 109 = 102024.