Least Common Multiple of 540/71, 968/13, 918/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/71, 968/13, 918/724 quickly i.e. 2221560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/71, 968/13, 918/724 is 2221560.

LCM(540/71, 968/13, 918/724) = 2221560

LCM of 540/71, 968/13, 918/724

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 540/71,968/13,918/724

Given numbers are 540/71,968/13,918/724

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 540,968,918

Least Common Multiple of Numerators i.e. LCM of 540,968,918 is 2221560.

GCF of Denominators means GCF of 71,13,724 as per the given fractions.

GCF of 71,13,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,968,918

LCM of Fractions 540/71,968/13,918/724 is 2221560

2 540, 968, 918
2 270, 484, 459
3 135, 242, 459
3 45, 242, 153
3 15, 242, 51
5, 242, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 242 x 17 = 2221560

Least Common Multiple of 540,968,918 with GCF Formula

Least Common Multiple of 540,968,918 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 540,968,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,968,918) = 2

common factors(in case of two or more numbers have common factors) = 108

GCF(540,968,918) x common factors =2 x 108 = 216

LCM(540,968,918) = ( 540 × 968 × 918 ) / 216

LCM(540,968,918) = 479856960 / 216

LCM(540,968,918) = 2221560


Lets's calculate GCF of 71,13,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2221560/1

Therefore the LCM of Fractions 540/71,968/13,918/724 is 2221560

Greatest Common Factor of 71,13,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,13,724 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 71,13,724 . The biggest common factor number is the GCF number.
So the greatest common factor 71,13,724 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 540/71, 968/13, 918/724

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 540/71, 968/13, 918/724?

Answer: LCM of Numerators as per given numbers 540/71, 968/13, 918/724 is

LCM of Numerators i.e. for 540,968,918 is 2221560

GCF of denominators i.e. for 71,13,724 is 1.

Thus, LCM of Fractions is 2221560.Finally, LCM of Fractions for 540/71, 968/13, 918/724 is 2221560.