Least Common Multiple of 187, 351, 312

Q: How to Find the LCM of 187, 351, 312 ?

Least Common Multiple of 187, 351, 312 = 525096 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(187, 351, 312) = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 13 x 17 = 525096.

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 187, 351, 312 i.e. 525096 smallest integer divisible by all numbers.

Least common multiple (LCM) of 187, 351, 312 is 525096.

LCM(187, 351, 312) = 525096

LCM of 187, 351, 312

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

Least Common Multiple of 187, 351, 312 by common division method
Least Common Multiple of 187, 351, 312 with GCF Formula

Least Common Multiple of 187,351,312

Least Common Multiple (LCM) of 187,351,312 is 525096

3	187, 351, 312
13	187, 117, 104
	187, 9, 8

∴ So the LCM of the given numbers is 3 x 13 x 187 x 9 x 8 = 525096

Least Common Multiple of 187,351,312 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 187,351,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,351,312) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(187,351,312) x common factors =1 x 39 = 39

LCM(187,351,312) = ( 187 × 351 × 312 ) / 39

LCM(187,351,312) = 20478744 / 39

LCM(187,351,312) = 525096

∴ Least Common Multiple of 187,351,312 is 525096

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 187, 351, 312

1. What is the LCM of 187, 351, 312?

Answer: LCM of 187, 351, 312 is 525096.

2. What are the Factors of 525096?

Answer: Factors of 525096 are . There are integers that are factors of 525096

3. How to Find the LCM of 187, 351, 312 ?

Least Common Multiple of 187, 351, 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(187, 351, 312) = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 13 x 17 = 525096.