Least Common Multiple of 813/26, 174/5010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/26, 174/5010 quickly i.e. 23577 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/26, 174/5010 is 23577.

LCM(813/26, 174/5010) = 23577

LCM of 813/26, 174/5010

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 813/26,174/5010

Given numbers are 813/26,174/5010

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 813,174

Least Common Multiple of Numerators i.e. LCM of 813,174 is 47154.

GCF of Denominators means GCF of 26,5010 as per the given fractions.

GCF of 26,5010 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,174

LCM of Fractions 813/26,174/5010 is 23577

3 813, 174
271, 58

∴ So the LCM of the given numbers is 3 x 271 x 58 = 47154

Least Common Multiple of 813,174 with GCF Formula

Least Common Multiple of 813,174 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 813,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,174) = 3

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

GCF(813,174) x common factors =3 x 1 = 3

LCM(813,174) = ( 813 × 174 ) / 3

LCM(813,174) = 141462 / 3

LCM(813,174) = 47154


Lets's calculate GCF of 26,5010

2 26, 5010
13, 2505

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47154/2

Therefore the LCM of Fractions 813/26,174/5010 is 23577

Greatest Common Factor of 26,5010 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,5010 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010

Greatest Common Factor

We found the factors 26,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 26,5010 is 2.


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 813/26, 174/5010

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 813/26, 174/5010?

Answer: LCM of Numerators as per given numbers 813/26, 174/5010 is

LCM of Numerators i.e. for 813,174 is 47154

GCF of denominators i.e. for 26,5010 is 2.

Thus, LCM of Fractions is 23577.Finally, LCM of Fractions for 813/26, 174/5010 is 23577.