Least Common Multiple of 54/231, 9174/7977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/231, 9174/7977 quickly i.e. 27522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/231, 9174/7977 is 27522.

LCM(54/231, 9174/7977) = 27522

LCM of 54/231, 9174/7977

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 54/231,9174/7977

Given numbers are 54/231,9174/7977

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 54,9174

Least Common Multiple of Numerators i.e. LCM of 54,9174 is 82566.

GCF of Denominators means GCF of 231,7977 as per the given fractions.

GCF of 231,7977 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,9174

LCM of Fractions 54/231,9174/7977 is 27522

2 54, 9174
3 27, 4587
9, 1529

∴ So the LCM of the given numbers is 2 x 3 x 9 x 1529 = 82566

Least Common Multiple of 54,9174 with GCF Formula

Least Common Multiple of 54,9174 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 54,9174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,9174) = 6

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

GCF(54,9174) x common factors =6 x 1 = 6

LCM(54,9174) = ( 54 × 9174 ) / 6

LCM(54,9174) = 495396 / 6

LCM(54,9174) = 82566


Lets's calculate GCF of 231,7977

3 231, 7977
77, 2659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82566/3

Therefore the LCM of Fractions 54/231,9174/7977 is 27522

Greatest Common Factor of 231,7977 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,7977 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 7977

List of positive integer factors of 7977 that divides 7977 without a remainder.

1,3,2659,7977

Greatest Common Factor

We found the factors 231,7977 . The biggest common factor number is the GCF number.
So the greatest common factor 231,7977 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 54/231, 9174/7977

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 54/231, 9174/7977?

Answer: LCM of Numerators as per given numbers 54/231, 9174/7977 is

LCM of Numerators i.e. for 54,9174 is 82566

GCF of denominators i.e. for 231,7977 is 3.

Thus, LCM of Fractions is 27522.Finally, LCM of Fractions for 54/231, 9174/7977 is 27522.