Least Common Multiple of 116/295, 7991/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 116/295, 7991/826 quickly i.e. 926956/59 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 116/295, 7991/826 is 926956/59.

LCM(116/295, 7991/826) = 926956/59

LCM of 116/295, 7991/826

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 116/295,7991/826

Given numbers are 116/295,7991/826

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 116,7991

Least Common Multiple of Numerators i.e. LCM of 116,7991 is 926956.

GCF of Denominators means GCF of 295,826 as per the given fractions.

GCF of 295,826 is 59 as it is the largest common factor for these numbers.

Lets's calculate LCM of 116,7991

LCM of Fractions 116/295,7991/826 is 926956/59

Given numbers has no common factors except 1. So, there LCM is their product i.e 926956

Least Common Multiple of 116,7991 with GCF Formula

Least Common Multiple of 116,7991 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 116,7991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,7991) = 1

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

GCF(116,7991) x common factors =1 x 1 = 1

LCM(116,7991) = ( 116 × 7991 ) / 1

LCM(116,7991) = 926956 / 1

LCM(116,7991) = 926956


Lets's calculate GCF of 295,826

59 295, 826
5, 14

∴ So the GCF of the given numbers is 59 = 59

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 926956/59

Therefore the LCM of Fractions 116/295,7991/826 is 926956/59

Greatest Common Factor of 295,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,826 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 295,826 . The biggest common factor number is the GCF number.
So the greatest common factor 295,826 is 59.


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 116/295, 7991/826

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 116/295, 7991/826?

Answer: LCM of Numerators as per given numbers 116/295, 7991/826 is

LCM of Numerators i.e. for 116,7991 is 926956

GCF of denominators i.e. for 295,826 is 59.

Thus, LCM of Fractions is 926956/59.Finally, LCM of Fractions for 116/295, 7991/826 is 926956/59.