Least Common Multiple of 20, 30, 45

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

• Least Common Multiple of 20, 30, 45 by common division method
• Least Common Multiple of 20, 30, 45 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 1 x 3 = 180

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 20,30,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,30,45) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(20,30,45) x common factors =5 x 30 = 150

LCM(20,30,45) = ( 20 × 30 × 45 ) / 150

LCM(20,30,45) = 27000 / 150

LCM(20,30,45) = 180

∴ Least Common Multiple of 20,30,45 is 180

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

• LCM of 73, 44, 37
• LCM of 20, 44, 60
• LCM of 49, 90, 30
• LCM of 45, 97, 79
• LCM of 88, 47, 55

1. What is the LCM of 20, 30, 45?

Answer: LCM of 20, 30, 45 is 180.

2. What are the Factors of 180?

Answer: Factors of 180 are . There are integers that are factors of 180

3. How to Find the LCM of 20, 30, 45 ?

Least Common Multiple of 20, 30, 45.

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(20, 30, 45) = 2 x 2 x 3 x 3 x 5 = 180.