Least Common Multiple of 868/26, 775/2540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/26, 775/2540 quickly i.e. 10850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/26, 775/2540 is 10850.

LCM(868/26, 775/2540) = 10850

LCM of 868/26, 775/2540

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 868/26,775/2540

Given numbers are 868/26,775/2540

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 868,775

Least Common Multiple of Numerators i.e. LCM of 868,775 is 21700.

GCF of Denominators means GCF of 26,2540 as per the given fractions.

GCF of 26,2540 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,775

LCM of Fractions 868/26,775/2540 is 10850

31 868, 775
28, 25

∴ So the LCM of the given numbers is 31 x 28 x 25 = 21700

Least Common Multiple of 868,775 with GCF Formula

Least Common Multiple of 868,775 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 868,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,775) = 31

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

GCF(868,775) x common factors =31 x 1 = 31

LCM(868,775) = ( 868 × 775 ) / 31

LCM(868,775) = 672700 / 31

LCM(868,775) = 21700


Lets's calculate GCF of 26,2540

2 26, 2540
13, 1270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21700/2

Therefore the LCM of Fractions 868/26,775/2540 is 10850

Greatest Common Factor of 26,2540 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,2540 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 2540

List of positive integer factors of 2540 that divides 2540 without a remainder.

1,2,4,5,10,20,127,254,508,635,1270,2540

Greatest Common Factor

We found the factors 26,2540 . The biggest common factor number is the GCF number.
So the greatest common factor 26,2540 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 868/26, 775/2540

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 868/26, 775/2540?

Answer: LCM of Numerators as per given numbers 868/26, 775/2540 is

LCM of Numerators i.e. for 868,775 is 21700

GCF of denominators i.e. for 26,2540 is 2.

Thus, LCM of Fractions is 10850.Finally, LCM of Fractions for 868/26, 775/2540 is 10850.