Least Common Multiple of 36, 18, 21, 56

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

• Least Common Multiple of 36, 18, 21, 56 by common division method
• Least Common Multiple of 36, 18, 21, 56 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 1 x 1 x 2 = 504

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 36,18,21,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,18,21,56) = 1

common factors(in case of two or more numbers have common factors) = 1512

GCF(36,18,21,56) x common factors =1 x 1512 = 1512

LCM(36,18,21,56) = ( 36 × 18 × 21 × 56 ) / 1512

LCM(36,18,21,56) = 762048 / 1512

LCM(36,18,21,56) = 504

∴ Least Common Multiple of 36,18,21,56 is 504

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

• LCM of 49, 18, 74, 14
• LCM of 34, 30, 99, 24
• LCM of 81, 80, 19, 55
• LCM of 99, 74, 92, 59
• LCM of 18, 21, 28, 16

1. What is the LCM of 36, 18, 21, 56?

Answer: LCM of 36, 18, 21, 56 is 504.

2. What are the Factors of 504?

Answer: Factors of 504 are . There are integers that are factors of 504

3. How to Find the LCM of 36, 18, 21, 56 ?

Least Common Multiple of 36, 18, 21, 56.

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(36, 18, 21, 56) = 2 x 2 x 2 x 3 x 3 x 7 = 504.