Least Common Multiple of 108/60, 6954/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/60, 6954/939 quickly i.e. 41724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/60, 6954/939 is 41724.

LCM(108/60, 6954/939) = 41724

LCM of 108/60, 6954/939

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 108/60,6954/939

Given numbers are 108/60,6954/939

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 108,6954

Least Common Multiple of Numerators i.e. LCM of 108,6954 is 125172.

GCF of Denominators means GCF of 60,939 as per the given fractions.

GCF of 60,939 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,6954

LCM of Fractions 108/60,6954/939 is 41724

2 108, 6954
3 54, 3477
18, 1159

∴ So the LCM of the given numbers is 2 x 3 x 18 x 1159 = 125172

Least Common Multiple of 108,6954 with GCF Formula

Least Common Multiple of 108,6954 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 108,6954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,6954) = 6

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

GCF(108,6954) x common factors =6 x 1 = 6

LCM(108,6954) = ( 108 × 6954 ) / 6

LCM(108,6954) = 751032 / 6

LCM(108,6954) = 125172


Lets's calculate GCF of 60,939

3 60, 939
20, 313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125172/3

Therefore the LCM of Fractions 108/60,6954/939 is 41724

Greatest Common Factor of 60,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,939 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 60,939 . The biggest common factor number is the GCF number.
So the greatest common factor 60,939 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 108/60, 6954/939

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 108/60, 6954/939?

Answer: LCM of Numerators as per given numbers 108/60, 6954/939 is

LCM of Numerators i.e. for 108,6954 is 125172

GCF of denominators i.e. for 60,939 is 3.

Thus, LCM of Fractions is 41724.Finally, LCM of Fractions for 108/60, 6954/939 is 41724.