Least Common Multiple of 54/82, 75/41, 12/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/82, 75/41, 12/176 quickly i.e. 2700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/82, 75/41, 12/176 is 2700.

LCM(54/82, 75/41, 12/176) = 2700

LCM of 54/82, 75/41, 12/176

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 54/82,75/41,12/176

Given numbers are 54/82,75/41,12/176

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 54,75,12

Least Common Multiple of Numerators i.e. LCM of 54,75,12 is 2700.

GCF of Denominators means GCF of 82,41,176 as per the given fractions.

GCF of 82,41,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,75,12

LCM of Fractions 54/82,75/41,12/176 is 2700

2 54, 75, 12
3 27, 75, 6
9, 25, 2

∴ So the LCM of the given numbers is 2 x 3 x 9 x 25 x 2 = 2700

Least Common Multiple of 54,75,12 with GCF Formula

Least Common Multiple of 54,75,12 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 54,75,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,75,12) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(54,75,12) x common factors =3 x 6 = 18

LCM(54,75,12) = ( 54 × 75 × 12 ) / 18

LCM(54,75,12) = 48600 / 18

LCM(54,75,12) = 2700


Lets's calculate GCF of 82,41,176

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2700/1

Therefore the LCM of Fractions 54/82,75/41,12/176 is 2700

Greatest Common Factor of 82,41,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,41,176 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 82,41,176 . The biggest common factor number is the GCF number.
So the greatest common factor 82,41,176 is 1.


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 54/82, 75/41, 12/176

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 54/82, 75/41, 12/176?

Answer: LCM of Numerators as per given numbers 54/82, 75/41, 12/176 is

LCM of Numerators i.e. for 54,75,12 is 2700

GCF of denominators i.e. for 82,41,176 is 1.

Thus, LCM of Fractions is 2700.Finally, LCM of Fractions for 54/82, 75/41, 12/176 is 2700.