Least Common Multiple of 30, 90, 20, 31

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

• Least Common Multiple of 30, 90, 20, 31 by common division method
• Least Common Multiple of 30, 90, 20, 31 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 2 x 31 = 5580

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 30,90,20,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,90,20,31) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(30,90,20,31) x common factors =1 x 300 = 300

LCM(30,90,20,31) = ( 30 × 90 × 20 × 31 ) / 300

LCM(30,90,20,31) = 1674000 / 300

LCM(30,90,20,31) = 5580

∴ Least Common Multiple of 30,90,20,31 is 5580

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

• LCM of 46, 66, 24, 65
• LCM of 47, 77, 21, 87
• LCM of 89, 62, 57, 61
• LCM of 36, 19, 10, 26
• LCM of 73, 80, 80, 90

1. What is the LCM of 30, 90, 20, 31?

Answer: LCM of 30, 90, 20, 31 is 5580.

2. What are the Factors of 5580?

Answer: Factors of 5580 are . There are integers that are factors of 5580

3. How to Find the LCM of 30, 90, 20, 31 ?

Least Common Multiple of 30, 90, 20, 31.

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, 90, 20, 31) = 2 x 2 x 3 x 3 x 5 x 31 = 5580.