Least Common Multiple of 831/51, 337/50, 261/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 831/51, 337/50, 261/341 quickly i.e. 24364089 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/51, 337/50, 261/341 is 24364089.

LCM(831/51, 337/50, 261/341) = 24364089

LCM of 831/51, 337/50, 261/341

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 831/51,337/50,261/341

Given numbers are 831/51,337/50,261/341

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 831,337,261

Least Common Multiple of Numerators i.e. LCM of 831,337,261 is 24364089.

GCF of Denominators means GCF of 51,50,341 as per the given fractions.

GCF of 51,50,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,337,261

LCM of Fractions 831/51,337/50,261/341 is 24364089

3 831, 337, 261
277, 337, 87

∴ So the LCM of the given numbers is 3 x 277 x 337 x 87 = 24364089

Least Common Multiple of 831,337,261 with GCF Formula

Least Common Multiple of 831,337,261 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 831,337,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,337,261) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(831,337,261) x common factors =1 x 3 = 3

LCM(831,337,261) = ( 831 × 337 × 261 ) / 3

LCM(831,337,261) = 73092267 / 3

LCM(831,337,261) = 24364089


Lets's calculate GCF of 51,50,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24364089/1

Therefore the LCM of Fractions 831/51,337/50,261/341 is 24364089

Greatest Common Factor of 51,50,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,50,341 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 51,50,341 . The biggest common factor number is the GCF number.
So the greatest common factor 51,50,341 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 831/51, 337/50, 261/341

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 831/51, 337/50, 261/341?

Answer: LCM of Numerators as per given numbers 831/51, 337/50, 261/341 is

LCM of Numerators i.e. for 831,337,261 is 24364089

GCF of denominators i.e. for 51,50,341 is 1.

Thus, LCM of Fractions is 24364089.Finally, LCM of Fractions for 831/51, 337/50, 261/341 is 24364089.