Least Common Multiple of 567, 756, 84

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

• Least Common Multiple of 567, 756, 84 by common division method
• Least Common Multiple of 567, 756, 84 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 7 x 1 x 3 x 1 = 2268

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 567,756,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,756,84) = 21

common factors(in case of two or more numbers have common factors) = 756

GCF(567,756,84) x common factors =21 x 756 = 15876

LCM(567,756,84) = ( 567 × 756 × 84 ) / 15876

LCM(567,756,84) = 36006768 / 15876

LCM(567,756,84) = 2268

∴ Least Common Multiple of 567,756,84 is 2268

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

• LCM of 140, 709, 36
• LCM of 675, 207, 40
• LCM of 408, 545, 66
• LCM of 187, 725, 81
• LCM of 872, 387, 65

1. What is the LCM of 567, 756, 84?

Answer: LCM of 567, 756, 84 is 2268.

2. What are the Factors of 2268?

Answer: Factors of 2268 are . There are integers that are factors of 2268

3. How to Find the LCM of 567, 756, 84 ?

Least Common Multiple of 567, 756, 84.

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(567, 756, 84) = 2 x 2 x 3 x 3 x 3 x 3 x 7 = 2268.