Least Common Multiple of 540, 639, 18

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 540, 639, 18 i.e. 38340 smallest integer divisible by all numbers.

Least common multiple (LCM) of 540, 639, 18 is 38340.

LCM(540, 639, 18) = 38340

LCM of 540, 639, 18

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

LCM of:

Least Common Multiple of 540,639,18

Least Common Multiple (LCM) of 540,639,18 is 38340

2 540, 639, 18
3 270, 639, 9
3 90, 213, 3
30, 71, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 30 x 71 x 1 = 38340

Least Common Multiple of 540,639,18 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 540,639,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,639,18) = 9

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

GCF(540,639,18) x common factors =9 x 18 = 162

LCM(540,639,18) = ( 540 × 639 × 18 ) / 162

LCM(540,639,18) = 6211080 / 162

LCM(540,639,18) = 38340

∴ Least Common Multiple of 540,639,18 is 38340

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 540, 639, 18

1. What is the LCM of 540, 639, 18?

Answer: LCM of 540, 639, 18 is 38340.

2. What are the Factors of 38340?

Answer: Factors of 38340 are . There are integers that are factors of 38340

3. How to Find the LCM of 540, 639, 18 ?

Least Common Multiple of 540, 639, 18.

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(540, 639, 18) = 2 x 2 x 3 x 3 x 3 x 5 x 71 = 38340.