Least Common Multiple of 131/26, 586/7046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 131/26, 586/7046 quickly i.e. 76766/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 131/26, 586/7046 is 76766/26.

LCM(131/26, 586/7046) = 76766/26

LCM of 131/26, 586/7046

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 131/26,586/7046

Given numbers are 131/26,586/7046

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 131,586

Least Common Multiple of Numerators i.e. LCM of 131,586 is 76766.

GCF of Denominators means GCF of 26,7046 as per the given fractions.

GCF of 26,7046 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 131,586

LCM of Fractions 131/26,586/7046 is 76766/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 76766

Least Common Multiple of 131,586 with GCF Formula

Least Common Multiple of 131,586 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 131,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,586) = 1

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

GCF(131,586) x common factors =1 x 1 = 1

LCM(131,586) = ( 131 × 586 ) / 1

LCM(131,586) = 76766 / 1

LCM(131,586) = 76766


Lets's calculate GCF of 26,7046

2 26, 7046
13 13, 3523
1, 271

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76766/26

Therefore the LCM of Fractions 131/26,586/7046 is 76766/26

Greatest Common Factor of 26,7046 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,7046 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 7046

List of positive integer factors of 7046 that divides 7046 without a remainder.

1,2,13,26,271,542,3523,7046

Greatest Common Factor

We found the factors 26,7046 . The biggest common factor number is the GCF number.
So the greatest common factor 26,7046 is 26.


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 131/26, 586/7046

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 131/26, 586/7046?

Answer: LCM of Numerators as per given numbers 131/26, 586/7046 is

LCM of Numerators i.e. for 131,586 is 76766

GCF of denominators i.e. for 26,7046 is 26.

Thus, LCM of Fractions is 76766/26.Finally, LCM of Fractions for 131/26, 586/7046 is 76766/26.