Least Common Multiple of 387, 456

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 387, 456 i.e. 58824 smallest integer divisible by all numbers.

Least common multiple (LCM) of 387, 456 is 58824.

LCM(387, 456) = 58824

LCM of 387, 456

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

LCM of:

Least Common Multiple of 387,456

Least Common Multiple (LCM) of 387,456 is 58824

3 387, 456
129, 152

∴ So the LCM of the given numbers is 3 x 129 x 152 = 58824

Least Common Multiple of 387,456 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 387,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,456) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(387,456) x common factors =3 x 1 = 3

LCM(387,456) = ( 387 × 456 ) / 3

LCM(387,456) = 176472 / 3

LCM(387,456) = 58824

∴ Least Common Multiple of 387,456 is 58824

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 387, 456

1. What is the LCM of 387, 456?

Answer: LCM of 387, 456 is 58824.

2. What are the Factors of 58824?

Answer: Factors of 58824 are . There are integers that are factors of 58824

3. How to Find the LCM of 387, 456 ?

Least Common Multiple of 387, 456.

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(387, 456) = 2 x 2 x 2 x 3 x 3 x 19 x 43 = 58824.