Least Common Multiple of 379, 520, 312

Q: How to Find the LCM of 379, 520, 312 ?

Least Common Multiple of 379, 520, 312 = 591240 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(379, 520, 312) = 2 x 2 x 2 x 3 x 5 x 13 x 379 = 591240.

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 379, 520, 312 i.e. 591240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 379, 520, 312 is 591240.

LCM(379, 520, 312) = 591240

LCM of 379, 520, 312

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

Least Common Multiple of 379, 520, 312 by common division method
Least Common Multiple of 379, 520, 312 with GCF Formula

Least Common Multiple of 379,520,312

Least Common Multiple (LCM) of 379,520,312 is 591240

2	379, 520, 312
2	379, 260, 156
2	379, 130, 78
13	379, 65, 39
	379, 5, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 379 x 5 x 3 = 591240

Least Common Multiple of 379,520,312 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 379,520,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,520,312) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(379,520,312) x common factors =1 x 104 = 104

LCM(379,520,312) = ( 379 × 520 × 312 ) / 104

LCM(379,520,312) = 61488960 / 104

LCM(379,520,312) = 591240

∴ Least Common Multiple of 379,520,312 is 591240

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 379, 520, 312

1. What is the LCM of 379, 520, 312?

Answer: LCM of 379, 520, 312 is 591240.

2. What are the Factors of 591240?

Answer: Factors of 591240 are . There are integers that are factors of 591240

3. How to Find the LCM of 379, 520, 312 ?

Least Common Multiple of 379, 520, 312.

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(379, 520, 312) = 2 x 2 x 2 x 3 x 5 x 13 x 379 = 591240.