Least Common Multiple of 312, 420, 96

Q: How to Find the LCM of 312, 420, 96 ?

Least Common Multiple of 312, 420, 96 = 43680 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(312, 420, 96) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 = 43680.

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 312, 420, 96 i.e. 43680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 312, 420, 96 is 43680.

LCM(312, 420, 96) = 43680

LCM of 312, 420, 96

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

Least Common Multiple of 312, 420, 96 by common division method
Least Common Multiple of 312, 420, 96 with GCF Formula

Least Common Multiple of 312,420,96

Least Common Multiple (LCM) of 312,420,96 is 43680

2	312, 420, 96
2	156, 210, 48
2	78, 105, 24
3	39, 105, 12
	13, 35, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 35 x 4 = 43680

Least Common Multiple of 312,420,96 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 312,420,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,420,96) = 12

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

GCF(312,420,96) x common factors =12 x 24 = 288

LCM(312,420,96) = ( 312 × 420 × 96 ) / 288

LCM(312,420,96) = 12579840 / 288

LCM(312,420,96) = 43680

∴ Least Common Multiple of 312,420,96 is 43680

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 312, 420, 96

1. What is the LCM of 312, 420, 96?

Answer: LCM of 312, 420, 96 is 43680.

2. What are the Factors of 43680?

Answer: Factors of 43680 are . There are integers that are factors of 43680

3. How to Find the LCM of 312, 420, 96 ?

Least Common Multiple of 312, 420, 96.

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(312, 420, 96) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 = 43680.