Least Common Multiple of 6879/30, 1302/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6879/30, 1302/339 quickly i.e. 995162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6879/30, 1302/339 is 995162.

LCM(6879/30, 1302/339) = 995162

LCM of 6879/30, 1302/339

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 6879/30,1302/339

Given numbers are 6879/30,1302/339

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 6879,1302

Least Common Multiple of Numerators i.e. LCM of 6879,1302 is 2985486.

GCF of Denominators means GCF of 30,339 as per the given fractions.

GCF of 30,339 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6879,1302

LCM of Fractions 6879/30,1302/339 is 995162

3 6879, 1302
2293, 434

∴ So the LCM of the given numbers is 3 x 2293 x 434 = 2985486

Least Common Multiple of 6879,1302 with GCF Formula

Least Common Multiple of 6879,1302 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 6879,1302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6879,1302) = 3

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

GCF(6879,1302) x common factors =3 x 1 = 3

LCM(6879,1302) = ( 6879 × 1302 ) / 3

LCM(6879,1302) = 8956458 / 3

LCM(6879,1302) = 2985486


Lets's calculate GCF of 30,339

3 30, 339
10, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2985486/3

Therefore the LCM of Fractions 6879/30,1302/339 is 995162

Greatest Common Factor of 30,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,339 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 30,339 . The biggest common factor number is the GCF number.
So the greatest common factor 30,339 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 6879/30, 1302/339

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 6879/30, 1302/339?

Answer: LCM of Numerators as per given numbers 6879/30, 1302/339 is

LCM of Numerators i.e. for 6879,1302 is 2985486

GCF of denominators i.e. for 30,339 is 3.

Thus, LCM of Fractions is 995162.Finally, LCM of Fractions for 6879/30, 1302/339 is 995162.