Least Common Multiple of 560, 3312

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 560, 3312 i.e. 115920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 560, 3312 is 115920.

LCM(560, 3312) = 115920

LCM of 560, 3312

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

LCM of:

Least Common Multiple of 560,3312

Least Common Multiple (LCM) of 560,3312 is 115920

2 560, 3312
2 280, 1656
2 140, 828
2 70, 414
35, 207

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 35 x 207 = 115920

Least Common Multiple of 560,3312 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 560,3312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,3312) = 16

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

GCF(560,3312) x common factors =16 x 1 = 16

LCM(560,3312) = ( 560 × 3312 ) / 16

LCM(560,3312) = 1854720 / 16

LCM(560,3312) = 115920

∴ Least Common Multiple of 560,3312 is 115920

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 560, 3312

1. What is the LCM of 560, 3312?

Answer: LCM of 560, 3312 is 115920.

2. What are the Factors of 115920?

Answer: Factors of 115920 are . There are integers that are factors of 115920

3. How to Find the LCM of 560, 3312 ?

Least Common Multiple of 560, 3312.

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(560, 3312) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 = 115920.