Least Common Multiple of 1140, 2516

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 1140, 2516 i.e. 717060 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1140, 2516 is 717060.

LCM(1140, 2516) = 717060

LCM of 1140, 2516

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

LCM of:

Least Common Multiple of 1140,2516

Least Common Multiple (LCM) of 1140,2516 is 717060

2 1140, 2516
2 570, 1258
285, 629

∴ So the LCM of the given numbers is 2 x 2 x 285 x 629 = 717060

Least Common Multiple of 1140,2516 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 1140,2516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1140,2516) = 4

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

GCF(1140,2516) x common factors =4 x 1 = 4

LCM(1140,2516) = ( 1140 × 2516 ) / 4

LCM(1140,2516) = 2868240 / 4

LCM(1140,2516) = 717060

∴ Least Common Multiple of 1140,2516 is 717060

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 1140, 2516

1. What is the LCM of 1140, 2516?

Answer: LCM of 1140, 2516 is 717060.

2. What are the Factors of 717060?

Answer: Factors of 717060 are . There are integers that are factors of 717060

3. How to Find the LCM of 1140, 2516 ?

Least Common Multiple of 1140, 2516.

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(1140, 2516) = 2 x 2 x 3 x 5 x 17 x 19 x 37 = 717060.