Least Common Multiple of 26/909, 2498/6672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/909, 2498/6672 quickly i.e. 32474/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/909, 2498/6672 is 32474/3.

LCM(26/909, 2498/6672) = 32474/3

LCM of 26/909, 2498/6672

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 26/909,2498/6672

Given numbers are 26/909,2498/6672

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 26,2498

Least Common Multiple of Numerators i.e. LCM of 26,2498 is 32474.

GCF of Denominators means GCF of 909,6672 as per the given fractions.

GCF of 909,6672 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,2498

LCM of Fractions 26/909,2498/6672 is 32474/3

2 26, 2498
13, 1249

∴ So the LCM of the given numbers is 2 x 13 x 1249 = 32474

Least Common Multiple of 26,2498 with GCF Formula

Least Common Multiple of 26,2498 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 26,2498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,2498) = 2

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

GCF(26,2498) x common factors =2 x 1 = 2

LCM(26,2498) = ( 26 × 2498 ) / 2

LCM(26,2498) = 64948 / 2

LCM(26,2498) = 32474


Lets's calculate GCF of 909,6672

3 909, 6672
303, 2224

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32474/3

Therefore the LCM of Fractions 26/909,2498/6672 is 32474/3

Greatest Common Factor of 909,6672 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,6672 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 6672

List of positive integer factors of 6672 that divides 6672 without a remainder.

1,2,3,4,6,8,12,16,24,48,139,278,417,556,834,1112,1668,2224,3336,6672

Greatest Common Factor

We found the factors 909,6672 . The biggest common factor number is the GCF number.
So the greatest common factor 909,6672 is 3.


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 26/909, 2498/6672

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 26/909, 2498/6672?

Answer: LCM of Numerators as per given numbers 26/909, 2498/6672 is

LCM of Numerators i.e. for 26,2498 is 32474

GCF of denominators i.e. for 909,6672 is 3.

Thus, LCM of Fractions is 32474/3.Finally, LCM of Fractions for 26/909, 2498/6672 is 32474/3.