Least Common Multiple of 87, 126, 378

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 87, 126, 378 i.e. 10962 smallest integer divisible by all numbers.

Least common multiple (LCM) of 87, 126, 378 is 10962.

LCM(87, 126, 378) = 10962

LCM of 87, 126, 378

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

LCM of:

Least Common Multiple of 87,126,378

Least Common Multiple (LCM) of 87,126,378 is 10962

2 87, 126, 378
3 87, 63, 189
3 29, 21, 63
7 29, 7, 21
29, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 29 x 1 x 3 = 10962

Least Common Multiple of 87,126,378 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 87,126,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,126,378) = 3

common factors(in case of two or more numbers have common factors) = 126

GCF(87,126,378) x common factors =3 x 126 = 378

LCM(87,126,378) = ( 87 × 126 × 378 ) / 378

LCM(87,126,378) = 4143636 / 378

LCM(87,126,378) = 10962

∴ Least Common Multiple of 87,126,378 is 10962

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 87, 126, 378

1. What is the LCM of 87, 126, 378?

Answer: LCM of 87, 126, 378 is 10962.

2. What are the Factors of 10962?

Answer: Factors of 10962 are . There are integers that are factors of 10962

3. How to Find the LCM of 87, 126, 378 ?

Least Common Multiple of 87, 126, 378.

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(87, 126, 378) = 2 x 3 x 3 x 3 x 7 x 29 = 10962.