Least Common Multiple of 13/119, 6981/3779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/119, 6981/3779 quickly i.e. 6981 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/119, 6981/3779 is 6981.

LCM(13/119, 6981/3779) = 6981

LCM of 13/119, 6981/3779

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 13/119,6981/3779

Given numbers are 13/119,6981/3779

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 13,6981

Least Common Multiple of Numerators i.e. LCM of 13,6981 is 6981.

GCF of Denominators means GCF of 119,3779 as per the given fractions.

GCF of 119,3779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,6981

LCM of Fractions 13/119,6981/3779 is 6981

13 13, 6981
1, 537

∴ So the LCM of the given numbers is 13 x 1 x 537 = 6981

Least Common Multiple of 13,6981 with GCF Formula

Least Common Multiple of 13,6981 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 13,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,6981) = 13

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

GCF(13,6981) x common factors =13 x 1 = 13

LCM(13,6981) = ( 13 × 6981 ) / 13

LCM(13,6981) = 90753 / 13

LCM(13,6981) = 6981


Lets's calculate GCF of 119,3779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6981/1

Therefore the LCM of Fractions 13/119,6981/3779 is 6981

Greatest Common Factor of 119,3779 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,3779 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 3779

List of positive integer factors of 3779 that divides 3779 without a remainder.

1,3779

Greatest Common Factor

We found the factors 119,3779 . The biggest common factor number is the GCF number.
So the greatest common factor 119,3779 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 13/119, 6981/3779

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 13/119, 6981/3779?

Answer: LCM of Numerators as per given numbers 13/119, 6981/3779 is

LCM of Numerators i.e. for 13,6981 is 6981

GCF of denominators i.e. for 119,3779 is 1.

Thus, LCM of Fractions is 6981.Finally, LCM of Fractions for 13/119, 6981/3779 is 6981.