Least Common Multiple of 57/903, 24/541, 186/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/903, 24/541, 186/166 quickly i.e. 14136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/903, 24/541, 186/166 is 14136.

LCM(57/903, 24/541, 186/166) = 14136

LCM of 57/903, 24/541, 186/166

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 57/903,24/541,186/166

Given numbers are 57/903,24/541,186/166

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 57,24,186

Least Common Multiple of Numerators i.e. LCM of 57,24,186 is 14136.

GCF of Denominators means GCF of 903,541,166 as per the given fractions.

GCF of 903,541,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,24,186

LCM of Fractions 57/903,24/541,186/166 is 14136

2 57, 24, 186
3 57, 12, 93
19, 4, 31

∴ So the LCM of the given numbers is 2 x 3 x 19 x 4 x 31 = 14136

Least Common Multiple of 57,24,186 with GCF Formula

Least Common Multiple of 57,24,186 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 57,24,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,24,186) = 3

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

GCF(57,24,186) x common factors =3 x 6 = 18

LCM(57,24,186) = ( 57 × 24 × 186 ) / 18

LCM(57,24,186) = 254448 / 18

LCM(57,24,186) = 14136


Lets's calculate GCF of 903,541,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14136/1

Therefore the LCM of Fractions 57/903,24/541,186/166 is 14136

Greatest Common Factor of 903,541,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,541,166 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 903,541,166 . The biggest common factor number is the GCF number.
So the greatest common factor 903,541,166 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 57/903, 24/541, 186/166

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 57/903, 24/541, 186/166?

Answer: LCM of Numerators as per given numbers 57/903, 24/541, 186/166 is

LCM of Numerators i.e. for 57,24,186 is 14136

GCF of denominators i.e. for 903,541,166 is 1.

Thus, LCM of Fractions is 14136.Finally, LCM of Fractions for 57/903, 24/541, 186/166 is 14136.