Least Common Multiple of 135, 2688

Q: How to Find the LCM of 135, 2688 ?

Least Common Multiple of 135, 2688 = 120960 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(135, 2688) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 = 120960.

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 135, 2688 i.e. 120960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 135, 2688 is 120960.

LCM(135, 2688) = 120960

LCM of 135, 2688

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

Least Common Multiple of 135, 2688 by common division method
Least Common Multiple of 135, 2688 with GCF Formula

Least Common Multiple of 135,2688

Least Common Multiple (LCM) of 135,2688 is 120960

3	135, 2688
	45, 896

∴ So the LCM of the given numbers is 3 x 45 x 896 = 120960

Least Common Multiple of 135,2688 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 135,2688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,2688) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(135,2688) x common factors =3 x 1 = 3

LCM(135,2688) = ( 135 × 2688 ) / 3

LCM(135,2688) = 362880 / 3

LCM(135,2688) = 120960

∴ Least Common Multiple of 135,2688 is 120960

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 135, 2688

1. What is the LCM of 135, 2688?

Answer: LCM of 135, 2688 is 120960.

2. What are the Factors of 120960?

Answer: Factors of 120960 are . There are integers that are factors of 120960

3. How to Find the LCM of 135, 2688 ?

Least Common Multiple of 135, 2688.

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(135, 2688) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 = 120960.