Least Common Multiple of 320, 3120

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 320, 3120 i.e. 12480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 320, 3120 is 12480.

LCM(320, 3120) = 12480

LCM of 320, 3120

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

LCM of:

Least Common Multiple of 320,3120

Least Common Multiple (LCM) of 320,3120 is 12480

2 320, 3120
2 160, 1560
2 80, 780
2 40, 390
5 20, 195
4, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 4 x 39 = 12480

Least Common Multiple of 320,3120 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 320,3120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,3120) = 80

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

GCF(320,3120) x common factors =80 x 1 = 80

LCM(320,3120) = ( 320 × 3120 ) / 80

LCM(320,3120) = 998400 / 80

LCM(320,3120) = 12480

∴ Least Common Multiple of 320,3120 is 12480

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 320, 3120

1. What is the LCM of 320, 3120?

Answer: LCM of 320, 3120 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 320, 3120 ?

Least Common Multiple of 320, 3120.

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(320, 3120) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 = 12480.