Least Common Multiple of 26/243, 54/400, 742/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/243, 54/400, 742/353 quickly i.e. 260442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/243, 54/400, 742/353 is 260442.

LCM(26/243, 54/400, 742/353) = 260442

LCM of 26/243, 54/400, 742/353

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 26/243,54/400,742/353

Given numbers are 26/243,54/400,742/353

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 26,54,742

Least Common Multiple of Numerators i.e. LCM of 26,54,742 is 260442.

GCF of Denominators means GCF of 243,400,353 as per the given fractions.

GCF of 243,400,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,54,742

LCM of Fractions 26/243,54/400,742/353 is 260442

2 26, 54, 742
13, 27, 371

∴ So the LCM of the given numbers is 2 x 13 x 27 x 371 = 260442

Least Common Multiple of 26,54,742 with GCF Formula

Least Common Multiple of 26,54,742 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 26,54,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,54,742) = 2

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

GCF(26,54,742) x common factors =2 x 2 = 4

LCM(26,54,742) = ( 26 × 54 × 742 ) / 4

LCM(26,54,742) = 1041768 / 4

LCM(26,54,742) = 260442


Lets's calculate GCF of 243,400,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260442/1

Therefore the LCM of Fractions 26/243,54/400,742/353 is 260442

Greatest Common Factor of 243,400,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,400,353 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 243,400,353 . The biggest common factor number is the GCF number.
So the greatest common factor 243,400,353 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 26/243, 54/400, 742/353

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 26/243, 54/400, 742/353?

Answer: LCM of Numerators as per given numbers 26/243, 54/400, 742/353 is

LCM of Numerators i.e. for 26,54,742 is 260442

GCF of denominators i.e. for 243,400,353 is 1.

Thus, LCM of Fractions is 260442.Finally, LCM of Fractions for 26/243, 54/400, 742/353 is 260442.