Least Common Multiple of 30, 60, 75, 120

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

• Least Common Multiple of 30, 60, 75, 120 by common division method
• Least Common Multiple of 30, 60, 75, 120 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 5 x 2 = 600

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 30,60,75,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,60,75,120) = 15

common factors(in case of two or more numbers have common factors) = 1800

GCF(30,60,75,120) x common factors =15 x 1800 = 27000

LCM(30,60,75,120) = ( 30 × 60 × 75 × 120 ) / 27000

LCM(30,60,75,120) = 16200000 / 27000

LCM(30,60,75,120) = 600

∴ Least Common Multiple of 30,60,75,120 is 600

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

• LCM of 47, 25, 60, 399
• LCM of 40, 40, 73, 119
• LCM of 33, 55, 35, 811
• LCM of 79, 20, 87, 527
• LCM of 59, 85, 49, 624

1. What is the LCM of 30, 60, 75, 120?

Answer: LCM of 30, 60, 75, 120 is 600.

2. What are the Factors of 600?

Answer: Factors of 600 are . There are integers that are factors of 600

3. How to Find the LCM of 30, 60, 75, 120 ?

Least Common Multiple of 30, 60, 75, 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(30, 60, 75, 120) = 2 x 2 x 2 x 3 x 5 x 5 = 600.