Least Common Multiple of 27, 108, 120

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 27, 108, 120 i.e. 1080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 27, 108, 120 is 1080.

LCM(27, 108, 120) = 1080

LCM of 27, 108, 120

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

LCM of:

Least Common Multiple of 27,108,120

Least Common Multiple (LCM) of 27,108,120 is 1080

2 27, 108, 120
2 27, 54, 60
3 27, 27, 30
3 9, 9, 10
3 3, 3, 10
1, 1, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 1 x 10 = 1080

Least Common Multiple of 27,108,120 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 27,108,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,108,120) = 3

common factors(in case of two or more numbers have common factors) = 108

GCF(27,108,120) x common factors =3 x 108 = 324

LCM(27,108,120) = ( 27 × 108 × 120 ) / 324

LCM(27,108,120) = 349920 / 324

LCM(27,108,120) = 1080

∴ Least Common Multiple of 27,108,120 is 1080

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 27, 108, 120

1. What is the LCM of 27, 108, 120?

Answer: LCM of 27, 108, 120 is 1080.

2. What are the Factors of 1080?

Answer: Factors of 1080 are . There are integers that are factors of 1080

3. How to Find the LCM of 27, 108, 120 ?

Least Common Multiple of 27, 108, 120.

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(27, 108, 120) = 2 x 2 x 2 x 3 x 3 x 3 x 5 = 1080.