Least Common Multiple of 26/133, 1913/5979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/133, 1913/5979 quickly i.e. 49738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/133, 1913/5979 is 49738.

LCM(26/133, 1913/5979) = 49738

LCM of 26/133, 1913/5979

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 26/133,1913/5979

Given numbers are 26/133,1913/5979

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 26,1913

Least Common Multiple of Numerators i.e. LCM of 26,1913 is 49738.

GCF of Denominators means GCF of 133,5979 as per the given fractions.

GCF of 133,5979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,1913

LCM of Fractions 26/133,1913/5979 is 49738

Given numbers has no common factors except 1. So, there LCM is their product i.e 49738

Least Common Multiple of 26,1913 with GCF Formula

Least Common Multiple of 26,1913 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 26,1913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,1913) = 1

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

GCF(26,1913) x common factors =1 x 1 = 1

LCM(26,1913) = ( 26 × 1913 ) / 1

LCM(26,1913) = 49738 / 1

LCM(26,1913) = 49738


Lets's calculate GCF of 133,5979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49738/1

Therefore the LCM of Fractions 26/133,1913/5979 is 49738

Greatest Common Factor of 133,5979 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,5979 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 5979

List of positive integer factors of 5979 that divides 5979 without a remainder.

1,3,1993,5979

Greatest Common Factor

We found the factors 133,5979 . The biggest common factor number is the GCF number.
So the greatest common factor 133,5979 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/133, 1913/5979

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 26/133, 1913/5979?

Answer: LCM of Numerators as per given numbers 26/133, 1913/5979 is

LCM of Numerators i.e. for 26,1913 is 49738

GCF of denominators i.e. for 133,5979 is 1.

Thus, LCM of Fractions is 49738.Finally, LCM of Fractions for 26/133, 1913/5979 is 49738.