Least Common Multiple of 416, 312, 72

Q: How to Find the LCM of 416, 312, 72 ?

Least Common Multiple of 416, 312, 72 = 3744 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(416, 312, 72) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 = 3744.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 416, 312, 72 i.e. 3744 smallest integer divisible by all numbers.

Least common multiple (LCM) of 416, 312, 72 is 3744.

LCM(416, 312, 72) = 3744

LCM of 416, 312, 72

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

Least Common Multiple of 416, 312, 72 by common division method
Least Common Multiple of 416, 312, 72 with GCF Formula

Least Common Multiple of 416,312,72

Least Common Multiple (LCM) of 416,312,72 is 3744

2	416, 312, 72
2	208, 156, 36
2	104, 78, 18
3	52, 39, 9
13	52, 13, 3
	4, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 4 x 1 x 3 = 3744

Least Common Multiple of 416,312,72 with GCF Formula

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 416,312,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,312,72) = 8

common factors(in case of two or more numbers have common factors) = 312

GCF(416,312,72) x common factors =8 x 312 = 2496

LCM(416,312,72) = ( 416 × 312 × 72 ) / 2496

LCM(416,312,72) = 9345024 / 2496

LCM(416,312,72) = 3744

∴ Least Common Multiple of 416,312,72 is 3744

LCM of two or more Numbers Calculation Examples

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

Frequently Asked Questions on LCM of 416, 312, 72

1. What is the LCM of 416, 312, 72?

Answer: LCM of 416, 312, 72 is 3744.

2. What are the Factors of 3744?

Answer: Factors of 3744 are . There are integers that are factors of 3744

3. How to Find the LCM of 416, 312, 72 ?

Least Common Multiple of 416, 312, 72.

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(416, 312, 72) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 = 3744.