Least Common Multiple of 54/177, 23/258, 972/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/177, 23/258, 972/825 quickly i.e. 7452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/177, 23/258, 972/825 is 7452.

LCM(54/177, 23/258, 972/825) = 7452

LCM of 54/177, 23/258, 972/825

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 54/177,23/258,972/825

Given numbers are 54/177,23/258,972/825

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 54,23,972

Least Common Multiple of Numerators i.e. LCM of 54,23,972 is 22356.

GCF of Denominators means GCF of 177,258,825 as per the given fractions.

GCF of 177,258,825 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,23,972

LCM of Fractions 54/177,23/258,972/825 is 7452

2 54, 23, 972
3 27, 23, 486
3 9, 23, 162
3 3, 23, 54
1, 23, 18

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 23 x 18 = 22356

Least Common Multiple of 54,23,972 with GCF Formula

Least Common Multiple of 54,23,972 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 54,23,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,23,972) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(54,23,972) x common factors =1 x 54 = 54

LCM(54,23,972) = ( 54 × 23 × 972 ) / 54

LCM(54,23,972) = 1207224 / 54

LCM(54,23,972) = 22356


Lets's calculate GCF of 177,258,825

3 177, 258, 825
59, 86, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22356/3

Therefore the LCM of Fractions 54/177,23/258,972/825 is 7452

Greatest Common Factor of 177,258,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,258,825 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 177,258,825 . The biggest common factor number is the GCF number.
So the greatest common factor 177,258,825 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 54/177, 23/258, 972/825

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 54/177, 23/258, 972/825?

Answer: LCM of Numerators as per given numbers 54/177, 23/258, 972/825 is

LCM of Numerators i.e. for 54,23,972 is 22356

GCF of denominators i.e. for 177,258,825 is 3.

Thus, LCM of Fractions is 7452.Finally, LCM of Fractions for 54/177, 23/258, 972/825 is 7452.