Least Common Multiple of 57/13, 76/83, 40/51, 10/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/13, 76/83, 40/51, 10/13 quickly i.e. 2280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/13, 76/83, 40/51, 10/13 is 2280.

LCM(57/13, 76/83, 40/51, 10/13) = 2280

LCM of 57/13, 76/83, 40/51, 10/13

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 57/13,76/83,40/51,10/13

Given numbers are 57/13,76/83,40/51,10/13

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 57,76,40,10

Least Common Multiple of Numerators i.e. LCM of 57,76,40,10 is 2280.

GCF of Denominators means GCF of 13,83,51,13 as per the given fractions.

GCF of 13,83,51,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,76,40,10

LCM of Fractions 57/13,76/83,40/51,10/13 is 2280

2 57, 76, 40, 10
2 57, 38, 20, 5
5 57, 19, 10, 5
19 57, 19, 2, 1
3, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 3 x 1 x 2 x 1 = 2280

Least Common Multiple of 57,76,40,10 with GCF Formula

Least Common Multiple of 57,76,40,10 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 57,76,40,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,76,40,10) = 1

common factors(in case of two or more numbers have common factors) = 760

GCF(57,76,40,10) x common factors =1 x 760 = 760

LCM(57,76,40,10) = ( 57 × 76 × 40 × 10 ) / 760

LCM(57,76,40,10) = 1732800 / 760

LCM(57,76,40,10) = 2280


Lets's calculate GCF of 13,83,51,13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2280/1

Therefore the LCM of Fractions 57/13,76/83,40/51,10/13 is 2280

Greatest Common Factor of 13,83,51,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,83,51,13 By Matching Biggest Common Factor Method

Factors of 13

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

1,13

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 13

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

1,13

Greatest Common Factor

We found the factors 13,83,51,13 . The biggest common factor number is the GCF number.
So the greatest common factor 13,83,51,13 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 57/13, 76/83, 40/51, 10/13

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 57/13, 76/83, 40/51, 10/13?

Answer: LCM of Numerators as per given numbers 57/13, 76/83, 40/51, 10/13 is

LCM of Numerators i.e. for 57,76,40,10 is 2280

GCF of denominators i.e. for 13,83,51,13 is 1.

Thus, LCM of Fractions is 2280.Finally, LCM of Fractions for 57/13, 76/83, 40/51, 10/13 is 2280.