Least Common Multiple of 69, 72, 312

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

• Least Common Multiple of 69, 72, 312 by common division method
• Least Common Multiple of 69, 72, 312 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 3 x 13 = 21528

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 69,72,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,72,312) = 3

common factors(in case of two or more numbers have common factors) = 24

GCF(69,72,312) x common factors =3 x 24 = 72

LCM(69,72,312) = ( 69 × 72 × 312 ) / 72

LCM(69,72,312) = 1550016 / 72

LCM(69,72,312) = 21528

∴ Least Common Multiple of 69,72,312 is 21528

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

• LCM of 12, 30, 942
• LCM of 39, 76, 202
• LCM of 68, 92, 177
• LCM of 38, 71, 983
• LCM of 74, 22, 815

1. What is the LCM of 69, 72, 312?

Answer: LCM of 69, 72, 312 is 21528.

2. What are the Factors of 21528?

Answer: Factors of 21528 are . There are integers that are factors of 21528

3. How to Find the LCM of 69, 72, 312 ?

Least Common Multiple of 69, 72, 312.

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(69, 72, 312) = 2 x 2 x 2 x 3 x 3 x 13 x 23 = 21528.