Least Common Multiple of 6760/339, 8420/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6760/339, 8420/180 quickly i.e. 2845960/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6760/339, 8420/180 is 2845960/3.

LCM(6760/339, 8420/180) = 2845960/3

LCM of 6760/339, 8420/180

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 6760/339,8420/180

Given numbers are 6760/339,8420/180

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 6760,8420

Least Common Multiple of Numerators i.e. LCM of 6760,8420 is 2845960.

GCF of Denominators means GCF of 339,180 as per the given fractions.

GCF of 339,180 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6760,8420

LCM of Fractions 6760/339,8420/180 is 2845960/3

2 6760, 8420
2 3380, 4210
5 1690, 2105
338, 421

∴ So the LCM of the given numbers is 2 x 2 x 5 x 338 x 421 = 2845960

Least Common Multiple of 6760,8420 with GCF Formula

Least Common Multiple of 6760,8420 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 6760,8420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6760,8420) = 20

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

GCF(6760,8420) x common factors =20 x 1 = 20

LCM(6760,8420) = ( 6760 × 8420 ) / 20

LCM(6760,8420) = 56919200 / 20

LCM(6760,8420) = 2845960


Lets's calculate GCF of 339,180

3 339, 180
113, 60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2845960/3

Therefore the LCM of Fractions 6760/339,8420/180 is 2845960/3

Greatest Common Factor of 339,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,180 By Matching Biggest Common Factor Method

Factors of 339

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

1,3,113,339

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 339,180 . The biggest common factor number is the GCF number.
So the greatest common factor 339,180 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 6760/339, 8420/180

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 6760/339, 8420/180?

Answer: LCM of Numerators as per given numbers 6760/339, 8420/180 is

LCM of Numerators i.e. for 6760,8420 is 2845960

GCF of denominators i.e. for 339,180 is 3.

Thus, LCM of Fractions is 2845960/3.Finally, LCM of Fractions for 6760/339, 8420/180 is 2845960/3.