Least Common Multiple of 312, 4160

Q: How to Find the LCM of 312, 4160 ?

Least Common Multiple of 312, 4160 = 12480 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, 4160) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 = 12480.

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, 4160 i.e. 12480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 312, 4160 is 12480.

LCM(312, 4160) = 12480

LCM of 312, 4160

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

Least Common Multiple of 312, 4160 by common division method
Least Common Multiple of 312, 4160 with GCF Formula

Least Common Multiple of 312,4160

Least Common Multiple (LCM) of 312,4160 is 12480

2	312, 4160
2	156, 2080
2	78, 1040
13	39, 520
	3, 40

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 3 x 40 = 12480

Least Common Multiple of 312,4160 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 312,4160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,4160) = 104

common factors(in case of two or more numbers have common factors) = 1

GCF(312,4160) x common factors =104 x 1 = 104

LCM(312,4160) = ( 312 × 4160 ) / 104

LCM(312,4160) = 1297920 / 104

LCM(312,4160) = 12480

∴ Least Common Multiple of 312,4160 is 12480

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, 4160

1. What is the LCM of 312, 4160?

Answer: LCM of 312, 4160 is 12480.

2. What are the Factors of 12480?

Answer: Factors of 12480 are . There are integers that are factors of 12480

3. How to Find the LCM of 312, 4160 ?

Least Common Multiple of 312, 4160.

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, 4160) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 = 12480.