Least Common Multiple of 31, 12, 360

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

• Least Common Multiple of 31, 12, 360 by common division method
• Least Common Multiple of 31, 12, 360 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 1 x 30 = 11160

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 31,12,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,12,360) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(31,12,360) x common factors =1 x 12 = 12

LCM(31,12,360) = ( 31 × 12 × 360 ) / 12

LCM(31,12,360) = 133920 / 12

LCM(31,12,360) = 11160

∴ Least Common Multiple of 31,12,360 is 11160

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

• LCM of 94, 16, 165
• LCM of 47, 42, 219
• LCM of 55, 47, 610
• LCM of 18, 77, 314
• LCM of 20, 59, 901

1. What is the LCM of 31, 12, 360?

Answer: LCM of 31, 12, 360 is 11160.

2. What are the Factors of 11160?

Answer: Factors of 11160 are . There are integers that are factors of 11160

3. How to Find the LCM of 31, 12, 360 ?

Least Common Multiple of 31, 12, 360.

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(31, 12, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 31 = 11160.