Least Common Multiple of 286/542, 720/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/542, 720/724 quickly i.e. 51480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/542, 720/724 is 51480.

LCM(286/542, 720/724) = 51480

LCM of 286/542, 720/724

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 286/542,720/724

Given numbers are 286/542,720/724

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 286,720

Least Common Multiple of Numerators i.e. LCM of 286,720 is 102960.

GCF of Denominators means GCF of 542,724 as per the given fractions.

GCF of 542,724 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,720

LCM of Fractions 286/542,720/724 is 51480

2 286, 720
143, 360

∴ So the LCM of the given numbers is 2 x 143 x 360 = 102960

Least Common Multiple of 286,720 with GCF Formula

Least Common Multiple of 286,720 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 286,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,720) = 2

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

GCF(286,720) x common factors =2 x 1 = 2

LCM(286,720) = ( 286 × 720 ) / 2

LCM(286,720) = 205920 / 2

LCM(286,720) = 102960


Lets's calculate GCF of 542,724

2 542, 724
271, 362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102960/2

Therefore the LCM of Fractions 286/542,720/724 is 51480

Greatest Common Factor of 542,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,724 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 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 542,724 . The biggest common factor number is the GCF number.
So the greatest common factor 542,724 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 286/542, 720/724

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 286/542, 720/724?

Answer: LCM of Numerators as per given numbers 286/542, 720/724 is

LCM of Numerators i.e. for 286,720 is 102960

GCF of denominators i.e. for 542,724 is 2.

Thus, LCM of Fractions is 51480.Finally, LCM of Fractions for 286/542, 720/724 is 51480.