Least Common Multiple of 26/318, 146/338, 520/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/318, 146/338, 520/979 quickly i.e. 37960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/318, 146/338, 520/979 is 37960.

LCM(26/318, 146/338, 520/979) = 37960

LCM of 26/318, 146/338, 520/979

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 26/318,146/338,520/979

Given numbers are 26/318,146/338,520/979

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 26,146,520

Least Common Multiple of Numerators i.e. LCM of 26,146,520 is 37960.

GCF of Denominators means GCF of 318,338,979 as per the given fractions.

GCF of 318,338,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,146,520

LCM of Fractions 26/318,146/338,520/979 is 37960

2 26, 146, 520
13 13, 73, 260
1, 73, 20

∴ So the LCM of the given numbers is 2 x 13 x 1 x 73 x 20 = 37960

Least Common Multiple of 26,146,520 with GCF Formula

Least Common Multiple of 26,146,520 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 26,146,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,146,520) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(26,146,520) x common factors =2 x 26 = 52

LCM(26,146,520) = ( 26 × 146 × 520 ) / 52

LCM(26,146,520) = 1973920 / 52

LCM(26,146,520) = 37960


Lets's calculate GCF of 318,338,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37960/1

Therefore the LCM of Fractions 26/318,146/338,520/979 is 37960

Greatest Common Factor of 318,338,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,338,979 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 318,338,979 . The biggest common factor number is the GCF number.
So the greatest common factor 318,338,979 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 26/318, 146/338, 520/979

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 26/318, 146/338, 520/979?

Answer: LCM of Numerators as per given numbers 26/318, 146/338, 520/979 is

LCM of Numerators i.e. for 26,146,520 is 37960

GCF of denominators i.e. for 318,338,979 is 1.

Thus, LCM of Fractions is 37960.Finally, LCM of Fractions for 26/318, 146/338, 520/979 is 37960.