Least Common Multiple of 261/507, 1494/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 261/507, 1494/676 quickly i.e. 43326/169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 261/507, 1494/676 is 43326/169.

LCM(261/507, 1494/676) = 43326/169

LCM of 261/507, 1494/676

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 261/507,1494/676

Given numbers are 261/507,1494/676

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 261,1494

Least Common Multiple of Numerators i.e. LCM of 261,1494 is 43326.

GCF of Denominators means GCF of 507,676 as per the given fractions.

GCF of 507,676 is 169 as it is the largest common factor for these numbers.

Lets's calculate LCM of 261,1494

LCM of Fractions 261/507,1494/676 is 43326/169

3 261, 1494
3 87, 498
29, 166

∴ So the LCM of the given numbers is 3 x 3 x 29 x 166 = 43326

Least Common Multiple of 261,1494 with GCF Formula

Least Common Multiple of 261,1494 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 261,1494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,1494) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(261,1494) x common factors =9 x 1 = 9

LCM(261,1494) = ( 261 × 1494 ) / 9

LCM(261,1494) = 389934 / 9

LCM(261,1494) = 43326


Lets's calculate GCF of 507,676

13 507, 676
13 39, 52
3, 4

∴ So the GCF of the given numbers is 13 x 13 = 169

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43326/169

Therefore the LCM of Fractions 261/507,1494/676 is 43326/169

Greatest Common Factor of 507,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,676 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 507,676 . The biggest common factor number is the GCF number.
So the greatest common factor 507,676 is 169.


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 261/507, 1494/676

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 261/507, 1494/676?

Answer: LCM of Numerators as per given numbers 261/507, 1494/676 is

LCM of Numerators i.e. for 261,1494 is 43326

GCF of denominators i.e. for 507,676 is 169.

Thus, LCM of Fractions is 43326/169.Finally, LCM of Fractions for 261/507, 1494/676 is 43326/169.