Least Common Multiple of 36, 387, 468

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 36, 387, 468 i.e. 20124 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 387, 468 is 20124.

LCM(36, 387, 468) = 20124

LCM of 36, 387, 468

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

LCM of:

Least Common Multiple of 36,387,468

Least Common Multiple (LCM) of 36,387,468 is 20124

2 36, 387, 468
2 18, 387, 234
3 9, 387, 117
3 3, 129, 39
1, 43, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 43 x 13 = 20124

Least Common Multiple of 36,387,468 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 36,387,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,387,468) = 9

common factors(in case of two or more numbers have common factors) = 36

GCF(36,387,468) x common factors =9 x 36 = 324

LCM(36,387,468) = ( 36 × 387 × 468 ) / 324

LCM(36,387,468) = 6520176 / 324

LCM(36,387,468) = 20124

∴ Least Common Multiple of 36,387,468 is 20124

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 36, 387, 468

1. What is the LCM of 36, 387, 468?

Answer: LCM of 36, 387, 468 is 20124.

2. What are the Factors of 20124?

Answer: Factors of 20124 are . There are integers that are factors of 20124

3. How to Find the LCM of 36, 387, 468 ?

Least Common Multiple of 36, 387, 468.

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(36, 387, 468) = 2 x 2 x 3 x 3 x 13 x 43 = 20124.