Least Common Multiple of 57/724, 73/287, 713/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/724, 73/287, 713/270 quickly i.e. 2966793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/724, 73/287, 713/270 is 2966793.

LCM(57/724, 73/287, 713/270) = 2966793

LCM of 57/724, 73/287, 713/270

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 57/724,73/287,713/270

Given numbers are 57/724,73/287,713/270

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 57,73,713

Least Common Multiple of Numerators i.e. LCM of 57,73,713 is 2966793.

GCF of Denominators means GCF of 724,287,270 as per the given fractions.

GCF of 724,287,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,73,713

LCM of Fractions 57/724,73/287,713/270 is 2966793

Given numbers has no common factors except 1. So, there LCM is their product i.e 2966793

Least Common Multiple of 57,73,713 with GCF Formula

Least Common Multiple of 57,73,713 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 57,73,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,73,713) = 1

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

GCF(57,73,713) x common factors =1 x 1 = 1

LCM(57,73,713) = ( 57 × 73 × 713 ) / 1

LCM(57,73,713) = 2966793 / 1

LCM(57,73,713) = 2966793


Lets's calculate GCF of 724,287,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2966793/1

Therefore the LCM of Fractions 57/724,73/287,713/270 is 2966793

Greatest Common Factor of 724,287,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,287,270 By Matching Biggest Common Factor Method

Factors of 724

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

1,2,4,181,362,724

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 724,287,270 . The biggest common factor number is the GCF number.
So the greatest common factor 724,287,270 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 57/724, 73/287, 713/270

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 57/724, 73/287, 713/270?

Answer: LCM of Numerators as per given numbers 57/724, 73/287, 713/270 is

LCM of Numerators i.e. for 57,73,713 is 2966793

GCF of denominators i.e. for 724,287,270 is 1.

Thus, LCM of Fractions is 2966793.Finally, LCM of Fractions for 57/724, 73/287, 713/270 is 2966793.