Least Common Multiple of 72, 108, 108

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

• Least Common Multiple of 72, 108, 108 by common division method
• Least Common Multiple of 72, 108, 108 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 2 x 1 x 1 = 216

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 72,108,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,108,108) = 36

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

GCF(72,108,108) x common factors =36 x 108 = 3888

LCM(72,108,108) = ( 72 × 108 × 108 ) / 3888

LCM(72,108,108) = 839808 / 3888

LCM(72,108,108) = 216

∴ Least Common Multiple of 72,108,108 is 216

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 32, 144, 988
• LCM of 37, 517, 693
• LCM of 33, 437, 981
• LCM of 60, 143, 957
• LCM of 84, 108, 120

1. What is the LCM of 72, 108, 108?

Answer: LCM of 72, 108, 108 is 216.

2. What are the Factors of 216?

Answer: Factors of 216 are . There are integers that are factors of 216

3. How to Find the LCM of 72, 108, 108 ?

Least Common Multiple of 72, 108, 108.

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, 108, 108) = 2 x 2 x 2 x 3 x 3 x 3 = 216.