Least Common Multiple of 72, 138, 486

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 72, 138, 486 i.e. 44712 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 138, 486 is 44712.

LCM(72, 138, 486) = 44712

LCM of 72, 138, 486

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

LCM of:

Least Common Multiple of 72,138,486

Least Common Multiple (LCM) of 72,138,486 is 44712

2 72, 138, 486
3 36, 69, 243
3 12, 23, 81
4, 23, 27

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 23 x 27 = 44712

Least Common Multiple of 72,138,486 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 72,138,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,138,486) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(72,138,486) x common factors =6 x 18 = 108

LCM(72,138,486) = ( 72 × 138 × 486 ) / 108

LCM(72,138,486) = 4828896 / 108

LCM(72,138,486) = 44712

∴ Least Common Multiple of 72,138,486 is 44712

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 72, 138, 486

1. What is the LCM of 72, 138, 486?

Answer: LCM of 72, 138, 486 is 44712.

2. What are the Factors of 44712?

Answer: Factors of 44712 are . There are integers that are factors of 44712

3. How to Find the LCM of 72, 138, 486 ?

Least Common Multiple of 72, 138, 486.

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(72, 138, 486) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 23 = 44712.