Least Common Multiple of 540/71, 537/8974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/71, 537/8974 quickly i.e. 96660 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, 537/8974 is 96660.

LCM(540/71, 537/8974) = 96660

LCM of 540/71, 537/8974

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 540/71,537/8974

Given numbers are 540/71,537/8974

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 540,537

Least Common Multiple of Numerators i.e. LCM of 540,537 is 96660.

GCF of Denominators means GCF of 71,8974 as per the given fractions.

GCF of 71,8974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,537

LCM of Fractions 540/71,537/8974 is 96660

3 540, 537
180, 179

∴ So the LCM of the given numbers is 3 x 180 x 179 = 96660

Least Common Multiple of 540,537 with GCF Formula

Least Common Multiple of 540,537 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 540,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,537) = 3

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

GCF(540,537) x common factors =3 x 1 = 3

LCM(540,537) = ( 540 × 537 ) / 3

LCM(540,537) = 289980 / 3

LCM(540,537) = 96660


Lets's calculate GCF of 71,8974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96660/1

Therefore the LCM of Fractions 540/71,537/8974 is 96660

Greatest Common Factor of 71,8974 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,8974 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 8974

List of positive integer factors of 8974 that divides 8974 without a remainder.

1,2,7,14,641,1282,4487,8974

Greatest Common Factor

We found the factors 71,8974 . The biggest common factor number is the GCF number.
So the greatest common factor 71,8974 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, 537/8974

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, 537/8974?

Answer: LCM of Numerators as per given numbers 540/71, 537/8974 is

LCM of Numerators i.e. for 540,537 is 96660

GCF of denominators i.e. for 71,8974 is 1.

Thus, LCM of Fractions is 96660.Finally, LCM of Fractions for 540/71, 537/8974 is 96660.