Least Common Multiple of 960/542, 537/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/542, 537/884 quickly i.e. 85920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/542, 537/884 is 85920.

LCM(960/542, 537/884) = 85920

LCM of 960/542, 537/884

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 960/542,537/884

Given numbers are 960/542,537/884

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 960,537

Least Common Multiple of Numerators i.e. LCM of 960,537 is 171840.

GCF of Denominators means GCF of 542,884 as per the given fractions.

GCF of 542,884 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,537

LCM of Fractions 960/542,537/884 is 85920

3 960, 537
320, 179

∴ So the LCM of the given numbers is 3 x 320 x 179 = 171840

Least Common Multiple of 960,537 with GCF Formula

Least Common Multiple of 960,537 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 960,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,537) = 3

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

GCF(960,537) x common factors =3 x 1 = 3

LCM(960,537) = ( 960 × 537 ) / 3

LCM(960,537) = 515520 / 3

LCM(960,537) = 171840


Lets's calculate GCF of 542,884

2 542, 884
271, 442

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171840/2

Therefore the LCM of Fractions 960/542,537/884 is 85920

Greatest Common Factor of 542,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,884 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 542,884 . The biggest common factor number is the GCF number.
So the greatest common factor 542,884 is 2.


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 960/542, 537/884

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 960/542, 537/884?

Answer: LCM of Numerators as per given numbers 960/542, 537/884 is

LCM of Numerators i.e. for 960,537 is 171840

GCF of denominators i.e. for 542,884 is 2.

Thus, LCM of Fractions is 85920.Finally, LCM of Fractions for 960/542, 537/884 is 85920.