Least Common Multiple of 6729/138, 8691/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6729/138, 8691/213 quickly i.e. 6497971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6729/138, 8691/213 is 6497971.

LCM(6729/138, 8691/213) = 6497971

LCM of 6729/138, 8691/213

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 6729/138,8691/213

Given numbers are 6729/138,8691/213

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 6729,8691

Least Common Multiple of Numerators i.e. LCM of 6729,8691 is 19493913.

GCF of Denominators means GCF of 138,213 as per the given fractions.

GCF of 138,213 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6729,8691

LCM of Fractions 6729/138,8691/213 is 6497971

3 6729, 8691
2243, 2897

∴ So the LCM of the given numbers is 3 x 2243 x 2897 = 19493913

Least Common Multiple of 6729,8691 with GCF Formula

Least Common Multiple of 6729,8691 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 6729,8691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6729,8691) = 3

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

GCF(6729,8691) x common factors =3 x 1 = 3

LCM(6729,8691) = ( 6729 × 8691 ) / 3

LCM(6729,8691) = 58481739 / 3

LCM(6729,8691) = 19493913


Lets's calculate GCF of 138,213

3 138, 213
46, 71

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19493913/3

Therefore the LCM of Fractions 6729/138,8691/213 is 6497971

Greatest Common Factor of 138,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,213 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 138,213 . The biggest common factor number is the GCF number.
So the greatest common factor 138,213 is 3.


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 6729/138, 8691/213

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 6729/138, 8691/213?

Answer: LCM of Numerators as per given numbers 6729/138, 8691/213 is

LCM of Numerators i.e. for 6729,8691 is 19493913

GCF of denominators i.e. for 138,213 is 3.

Thus, LCM of Fractions is 6497971.Finally, LCM of Fractions for 6729/138, 8691/213 is 6497971.