Least Common Multiple of 76/410, 31/583, 118/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/410, 31/583, 118/520 quickly i.e. 139004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/410, 31/583, 118/520 is 139004.

LCM(76/410, 31/583, 118/520) = 139004

LCM of 76/410, 31/583, 118/520

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 76/410,31/583,118/520

Given numbers are 76/410,31/583,118/520

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 76,31,118

Least Common Multiple of Numerators i.e. LCM of 76,31,118 is 139004.

GCF of Denominators means GCF of 410,583,520 as per the given fractions.

GCF of 410,583,520 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,31,118

LCM of Fractions 76/410,31/583,118/520 is 139004

2 76, 31, 118
38, 31, 59

∴ So the LCM of the given numbers is 2 x 38 x 31 x 59 = 139004

Least Common Multiple of 76,31,118 with GCF Formula

Least Common Multiple of 76,31,118 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 76,31,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,31,118) = 1

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

GCF(76,31,118) x common factors =1 x 2 = 2

LCM(76,31,118) = ( 76 × 31 × 118 ) / 2

LCM(76,31,118) = 278008 / 2

LCM(76,31,118) = 139004


Lets's calculate GCF of 410,583,520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139004/1

Therefore the LCM of Fractions 76/410,31/583,118/520 is 139004

Greatest Common Factor of 410,583,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,583,520 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 410,583,520 . The biggest common factor number is the GCF number.
So the greatest common factor 410,583,520 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 76/410, 31/583, 118/520

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 76/410, 31/583, 118/520?

Answer: LCM of Numerators as per given numbers 76/410, 31/583, 118/520 is

LCM of Numerators i.e. for 76,31,118 is 139004

GCF of denominators i.e. for 410,583,520 is 1.

Thus, LCM of Fractions is 139004.Finally, LCM of Fractions for 76/410, 31/583, 118/520 is 139004.