Least Common Multiple of 76/54, 10/90, 13/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/54, 10/90, 13/819 quickly i.e. 4940/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/54, 10/90, 13/819 is 4940/9.

LCM(76/54, 10/90, 13/819) = 4940/9

LCM of 76/54, 10/90, 13/819

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 76/54,10/90,13/819

Given numbers are 76/54,10/90,13/819

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 76,10,13

Least Common Multiple of Numerators i.e. LCM of 76,10,13 is 4940.

GCF of Denominators means GCF of 54,90,819 as per the given fractions.

GCF of 54,90,819 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,10,13

LCM of Fractions 76/54,10/90,13/819 is 4940/9

2 76, 10, 13
38, 5, 13

∴ So the LCM of the given numbers is 2 x 38 x 5 x 13 = 4940

Least Common Multiple of 76,10,13 with GCF Formula

Least Common Multiple of 76,10,13 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 76,10,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,10,13) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,10,13) x common factors =1 x 2 = 2

LCM(76,10,13) = ( 76 × 10 × 13 ) / 2

LCM(76,10,13) = 9880 / 2

LCM(76,10,13) = 4940


Lets's calculate GCF of 54,90,819

3 54, 90, 819
3 18, 30, 273
6, 10, 91

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4940/9

Therefore the LCM of Fractions 76/54,10/90,13/819 is 4940/9

Greatest Common Factor of 54,90,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,90,819 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 54,90,819 . The biggest common factor number is the GCF number.
So the greatest common factor 54,90,819 is 9.


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 76/54, 10/90, 13/819

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 76/54, 10/90, 13/819?

Answer: LCM of Numerators as per given numbers 76/54, 10/90, 13/819 is

LCM of Numerators i.e. for 76,10,13 is 4940

GCF of denominators i.e. for 54,90,819 is 9.

Thus, LCM of Fractions is 4940/9.Finally, LCM of Fractions for 76/54, 10/90, 13/819 is 4940/9.