Least Common Multiple of 270, 381, 135

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 270, 381, 135 i.e. 34290 smallest integer divisible by all numbers.

Least common multiple (LCM) of 270, 381, 135 is 34290.

LCM(270, 381, 135) = 34290

LCM of 270, 381, 135

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

LCM of:

Least Common Multiple of 270,381,135

Least Common Multiple (LCM) of 270,381,135 is 34290

3 270, 381, 135
3 90, 127, 45
3 30, 127, 15
5 10, 127, 5
2, 127, 1

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 2 x 127 x 1 = 34290

Least Common Multiple of 270,381,135 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 270,381,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,381,135) = 3

common factors(in case of two or more numbers have common factors) = 135

GCF(270,381,135) x common factors =3 x 135 = 405

LCM(270,381,135) = ( 270 × 381 × 135 ) / 405

LCM(270,381,135) = 13887450 / 405

LCM(270,381,135) = 34290

∴ Least Common Multiple of 270,381,135 is 34290

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 270, 381, 135

1. What is the LCM of 270, 381, 135?

Answer: LCM of 270, 381, 135 is 34290.

2. What are the Factors of 34290?

Answer: Factors of 34290 are . There are integers that are factors of 34290

3. How to Find the LCM of 270, 381, 135 ?

Least Common Multiple of 270, 381, 135.

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(270, 381, 135) = 2 x 3 x 3 x 3 x 5 x 127 = 34290.