Least Common Multiple of 540/971, 5878/2675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/971, 5878/2675 quickly i.e. 1587060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/971, 5878/2675 is 1587060.

LCM(540/971, 5878/2675) = 1587060

LCM of 540/971, 5878/2675

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 540/971,5878/2675

Given numbers are 540/971,5878/2675

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 540,5878

Least Common Multiple of Numerators i.e. LCM of 540,5878 is 1587060.

GCF of Denominators means GCF of 971,2675 as per the given fractions.

GCF of 971,2675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,5878

LCM of Fractions 540/971,5878/2675 is 1587060

2 540, 5878
270, 2939

∴ So the LCM of the given numbers is 2 x 270 x 2939 = 1587060

Least Common Multiple of 540,5878 with GCF Formula

Least Common Multiple of 540,5878 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 540,5878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,5878) = 2

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

GCF(540,5878) x common factors =2 x 1 = 2

LCM(540,5878) = ( 540 × 5878 ) / 2

LCM(540,5878) = 3174120 / 2

LCM(540,5878) = 1587060


Lets's calculate GCF of 971,2675

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1587060/1

Therefore the LCM of Fractions 540/971,5878/2675 is 1587060

Greatest Common Factor of 971,2675 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,2675 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 2675

List of positive integer factors of 2675 that divides 2675 without a remainder.

1,5,25,107,535,2675

Greatest Common Factor

We found the factors 971,2675 . The biggest common factor number is the GCF number.
So the greatest common factor 971,2675 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 540/971, 5878/2675

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 540/971, 5878/2675?

Answer: LCM of Numerators as per given numbers 540/971, 5878/2675 is

LCM of Numerators i.e. for 540,5878 is 1587060

GCF of denominators i.e. for 971,2675 is 1.

Thus, LCM of Fractions is 1587060.Finally, LCM of Fractions for 540/971, 5878/2675 is 1587060.