Least Common Multiple of 1140, 5982

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, 5982 i.e. 1136580 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1140, 5982 is 1136580.

LCM(1140, 5982) = 1136580

LCM of 1140, 5982

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

LCM of:

Least Common Multiple of 1140,5982

Least Common Multiple (LCM) of 1140,5982 is 1136580

2 1140, 5982
3 570, 2991
190, 997

∴ So the LCM of the given numbers is 2 x 3 x 190 x 997 = 1136580

Least Common Multiple of 1140,5982 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 1140,5982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1140,5982) = 6

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

GCF(1140,5982) x common factors =6 x 1 = 6

LCM(1140,5982) = ( 1140 × 5982 ) / 6

LCM(1140,5982) = 6819480 / 6

LCM(1140,5982) = 1136580

∴ Least Common Multiple of 1140,5982 is 1136580

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 1140, 5982

1. What is the LCM of 1140, 5982?

Answer: LCM of 1140, 5982 is 1136580.

2. What are the Factors of 1136580?

Answer: Factors of 1136580 are . There are integers that are factors of 1136580

3. How to Find the LCM of 1140, 5982 ?

Least Common Multiple of 1140, 5982.

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, 5982) = 2 x 2 x 3 x 5 x 19 x 997 = 1136580.