Least Common Multiple of 54/330, 1268/9831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/330, 1268/9831 quickly i.e. 11412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/330, 1268/9831 is 11412.

LCM(54/330, 1268/9831) = 11412

LCM of 54/330, 1268/9831

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 54/330,1268/9831

Given numbers are 54/330,1268/9831

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 54,1268

Least Common Multiple of Numerators i.e. LCM of 54,1268 is 34236.

GCF of Denominators means GCF of 330,9831 as per the given fractions.

GCF of 330,9831 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,1268

LCM of Fractions 54/330,1268/9831 is 11412

2 54, 1268
27, 634

∴ So the LCM of the given numbers is 2 x 27 x 634 = 34236

Least Common Multiple of 54,1268 with GCF Formula

Least Common Multiple of 54,1268 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 54,1268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,1268) = 2

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

GCF(54,1268) x common factors =2 x 1 = 2

LCM(54,1268) = ( 54 × 1268 ) / 2

LCM(54,1268) = 68472 / 2

LCM(54,1268) = 34236


Lets's calculate GCF of 330,9831

3 330, 9831
110, 3277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34236/3

Therefore the LCM of Fractions 54/330,1268/9831 is 11412

Greatest Common Factor of 330,9831 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,9831 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 9831

List of positive integer factors of 9831 that divides 9831 without a remainder.

1,3,29,87,113,339,3277,9831

Greatest Common Factor

We found the factors 330,9831 . The biggest common factor number is the GCF number.
So the greatest common factor 330,9831 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 54/330, 1268/9831

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 54/330, 1268/9831?

Answer: LCM of Numerators as per given numbers 54/330, 1268/9831 is

LCM of Numerators i.e. for 54,1268 is 34236

GCF of denominators i.e. for 330,9831 is 3.

Thus, LCM of Fractions is 11412.Finally, LCM of Fractions for 54/330, 1268/9831 is 11412.