Least Common Multiple of 30, 396, 135

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

• Least Common Multiple of 30, 396, 135 by common division method
• Least Common Multiple of 30, 396, 135 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 22 x 3 = 5940

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 30,396,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,396,135) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(30,396,135) x common factors =3 x 90 = 270

LCM(30,396,135) = ( 30 × 396 × 135 ) / 270

LCM(30,396,135) = 1603800 / 270

LCM(30,396,135) = 5940

∴ Least Common Multiple of 30,396,135 is 5940

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

• LCM of 43, 573, 408
• LCM of 14, 807, 634
• LCM of 71, 511, 107
• LCM of 42, 304, 621
• LCM of 19, 794, 324

1. What is the LCM of 30, 396, 135?

Answer: LCM of 30, 396, 135 is 5940.

2. What are the Factors of 5940?

Answer: Factors of 5940 are . There are integers that are factors of 5940

3. How to Find the LCM of 30, 396, 135 ?

Least Common Multiple of 30, 396, 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(30, 396, 135) = 2 x 2 x 3 x 3 x 3 x 5 x 11 = 5940.