Least Common Multiple of 26/567, 40/136, 353/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/567, 40/136, 353/819 quickly i.e. 183560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/567, 40/136, 353/819 is 183560.

LCM(26/567, 40/136, 353/819) = 183560

LCM of 26/567, 40/136, 353/819

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 26/567,40/136,353/819

Given numbers are 26/567,40/136,353/819

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 26,40,353

Least Common Multiple of Numerators i.e. LCM of 26,40,353 is 183560.

GCF of Denominators means GCF of 567,136,819 as per the given fractions.

GCF of 567,136,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,40,353

LCM of Fractions 26/567,40/136,353/819 is 183560

2 26, 40, 353
13, 20, 353

∴ So the LCM of the given numbers is 2 x 13 x 20 x 353 = 183560

Least Common Multiple of 26,40,353 with GCF Formula

Least Common Multiple of 26,40,353 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 26,40,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,40,353) = 1

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

GCF(26,40,353) x common factors =1 x 2 = 2

LCM(26,40,353) = ( 26 × 40 × 353 ) / 2

LCM(26,40,353) = 367120 / 2

LCM(26,40,353) = 183560


Lets's calculate GCF of 567,136,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183560/1

Therefore the LCM of Fractions 26/567,40/136,353/819 is 183560

Greatest Common Factor of 567,136,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,136,819 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

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 567,136,819 . The biggest common factor number is the GCF number.
So the greatest common factor 567,136,819 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 26/567, 40/136, 353/819

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 26/567, 40/136, 353/819?

Answer: LCM of Numerators as per given numbers 26/567, 40/136, 353/819 is

LCM of Numerators i.e. for 26,40,353 is 183560

GCF of denominators i.e. for 567,136,819 is 1.

Thus, LCM of Fractions is 183560.Finally, LCM of Fractions for 26/567, 40/136, 353/819 is 183560.