Least Common Multiple of 339/378, 5720/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 339/378, 5720/876 quickly i.e. 323180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/378, 5720/876 is 323180.

LCM(339/378, 5720/876) = 323180

LCM of 339/378, 5720/876

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 339/378,5720/876

Given numbers are 339/378,5720/876

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 339,5720

Least Common Multiple of Numerators i.e. LCM of 339,5720 is 1939080.

GCF of Denominators means GCF of 378,876 as per the given fractions.

GCF of 378,876 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,5720

LCM of Fractions 339/378,5720/876 is 323180

Given numbers has no common factors except 1. So, there LCM is their product i.e 1939080

Least Common Multiple of 339,5720 with GCF Formula

Least Common Multiple of 339,5720 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 339,5720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,5720) = 1

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

GCF(339,5720) x common factors =1 x 1 = 1

LCM(339,5720) = ( 339 × 5720 ) / 1

LCM(339,5720) = 1939080 / 1

LCM(339,5720) = 1939080


Lets's calculate GCF of 378,876

2 378, 876
3 189, 438
63, 146

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1939080/6

Therefore the LCM of Fractions 339/378,5720/876 is 323180

Greatest Common Factor of 378,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,876 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 378,876 . The biggest common factor number is the GCF number.
So the greatest common factor 378,876 is 6.


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 339/378, 5720/876

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 339/378, 5720/876?

Answer: LCM of Numerators as per given numbers 339/378, 5720/876 is

LCM of Numerators i.e. for 339,5720 is 1939080

GCF of denominators i.e. for 378,876 is 6.

Thus, LCM of Fractions is 323180.Finally, LCM of Fractions for 339/378, 5720/876 is 323180.