Least Common Multiple of 26/945, 8072/7744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/945, 8072/7744 quickly i.e. 104936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/945, 8072/7744 is 104936.

LCM(26/945, 8072/7744) = 104936

LCM of 26/945, 8072/7744

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 26/945,8072/7744

Given numbers are 26/945,8072/7744

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 26,8072

Least Common Multiple of Numerators i.e. LCM of 26,8072 is 104936.

GCF of Denominators means GCF of 945,7744 as per the given fractions.

GCF of 945,7744 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,8072

LCM of Fractions 26/945,8072/7744 is 104936

2 26, 8072
13, 4036

∴ So the LCM of the given numbers is 2 x 13 x 4036 = 104936

Least Common Multiple of 26,8072 with GCF Formula

Least Common Multiple of 26,8072 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 26,8072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,8072) = 2

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

GCF(26,8072) x common factors =2 x 1 = 2

LCM(26,8072) = ( 26 × 8072 ) / 2

LCM(26,8072) = 209872 / 2

LCM(26,8072) = 104936


Lets's calculate GCF of 945,7744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104936/1

Therefore the LCM of Fractions 26/945,8072/7744 is 104936

Greatest Common Factor of 945,7744 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,7744 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 7744

List of positive integer factors of 7744 that divides 7744 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744

Greatest Common Factor

We found the factors 945,7744 . The biggest common factor number is the GCF number.
So the greatest common factor 945,7744 is 1.


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 26/945, 8072/7744

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 26/945, 8072/7744?

Answer: LCM of Numerators as per given numbers 26/945, 8072/7744 is

LCM of Numerators i.e. for 26,8072 is 104936

GCF of denominators i.e. for 945,7744 is 1.

Thus, LCM of Fractions is 104936.Finally, LCM of Fractions for 26/945, 8072/7744 is 104936.