Least Common Multiple of 72, 99, 312

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

• Least Common Multiple of 72, 99, 312 by common division method
• Least Common Multiple of 72, 99, 312 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 11 x 13 = 10296

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 72,99,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,99,312) = 3

common factors(in case of two or more numbers have common factors) = 72

GCF(72,99,312) x common factors =3 x 72 = 216

LCM(72,99,312) = ( 72 × 99 × 312 ) / 216

LCM(72,99,312) = 2223936 / 216

LCM(72,99,312) = 10296

∴ Least Common Multiple of 72,99,312 is 10296

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

• LCM of 79, 92, 350
• LCM of 42, 25, 738
• LCM of 93, 52, 227
• LCM of 12, 82, 168
• LCM of 27, 71, 470

1. What is the LCM of 72, 99, 312?

Answer: LCM of 72, 99, 312 is 10296.

2. What are the Factors of 10296?

Answer: Factors of 10296 are . There are integers that are factors of 10296

3. How to Find the LCM of 72, 99, 312 ?

Least Common Multiple of 72, 99, 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(72, 99, 312) = 2 x 2 x 2 x 3 x 3 x 11 x 13 = 10296.