Least Common Multiple of 42/339, 8357/5400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/339, 8357/5400 quickly i.e. 116998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/339, 8357/5400 is 116998.

LCM(42/339, 8357/5400) = 116998

LCM of 42/339, 8357/5400

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 42/339,8357/5400

Given numbers are 42/339,8357/5400

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 42,8357

Least Common Multiple of Numerators i.e. LCM of 42,8357 is 350994.

GCF of Denominators means GCF of 339,5400 as per the given fractions.

GCF of 339,5400 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,8357

LCM of Fractions 42/339,8357/5400 is 116998

Given numbers has no common factors except 1. So, there LCM is their product i.e 350994

Least Common Multiple of 42,8357 with GCF Formula

Least Common Multiple of 42,8357 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 42,8357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,8357) = 1

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

GCF(42,8357) x common factors =1 x 1 = 1

LCM(42,8357) = ( 42 × 8357 ) / 1

LCM(42,8357) = 350994 / 1

LCM(42,8357) = 350994


Lets's calculate GCF of 339,5400

3 339, 5400
113, 1800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350994/3

Therefore the LCM of Fractions 42/339,8357/5400 is 116998

Greatest Common Factor of 339,5400 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,5400 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 5400

List of positive integer factors of 5400 that divides 5400 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400

Greatest Common Factor

We found the factors 339,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 339,5400 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 42/339, 8357/5400

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 42/339, 8357/5400?

Answer: LCM of Numerators as per given numbers 42/339, 8357/5400 is

LCM of Numerators i.e. for 42,8357 is 350994

GCF of denominators i.e. for 339,5400 is 3.

Thus, LCM of Fractions is 116998.Finally, LCM of Fractions for 42/339, 8357/5400 is 116998.