Least Common Multiple of 26/11, 213/28, 118/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/11, 213/28, 118/601 quickly i.e. 326742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/11, 213/28, 118/601 is 326742.

LCM(26/11, 213/28, 118/601) = 326742

LCM of 26/11, 213/28, 118/601

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 26/11,213/28,118/601

Given numbers are 26/11,213/28,118/601

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 26,213,118

Least Common Multiple of Numerators i.e. LCM of 26,213,118 is 326742.

GCF of Denominators means GCF of 11,28,601 as per the given fractions.

GCF of 11,28,601 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,213,118

LCM of Fractions 26/11,213/28,118/601 is 326742

2 26, 213, 118
13, 213, 59

∴ So the LCM of the given numbers is 2 x 13 x 213 x 59 = 326742

Least Common Multiple of 26,213,118 with GCF Formula

Least Common Multiple of 26,213,118 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 26,213,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,213,118) = 1

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

GCF(26,213,118) x common factors =1 x 2 = 2

LCM(26,213,118) = ( 26 × 213 × 118 ) / 2

LCM(26,213,118) = 653484 / 2

LCM(26,213,118) = 326742


Lets's calculate GCF of 11,28,601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326742/1

Therefore the LCM of Fractions 26/11,213/28,118/601 is 326742

Greatest Common Factor of 11,28,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,28,601 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 11,28,601 . The biggest common factor number is the GCF number.
So the greatest common factor 11,28,601 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 26/11, 213/28, 118/601

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 26/11, 213/28, 118/601?

Answer: LCM of Numerators as per given numbers 26/11, 213/28, 118/601 is

LCM of Numerators i.e. for 26,213,118 is 326742

GCF of denominators i.e. for 11,28,601 is 1.

Thus, LCM of Fractions is 326742.Finally, LCM of Fractions for 26/11, 213/28, 118/601 is 326742.