Least Common Multiple of 36/75, 51/638, 538/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/75, 51/638, 538/183 quickly i.e. 164628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/75, 51/638, 538/183 is 164628.

LCM(36/75, 51/638, 538/183) = 164628

LCM of 36/75, 51/638, 538/183

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 36/75,51/638,538/183

Given numbers are 36/75,51/638,538/183

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 36,51,538

Least Common Multiple of Numerators i.e. LCM of 36,51,538 is 164628.

GCF of Denominators means GCF of 75,638,183 as per the given fractions.

GCF of 75,638,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,51,538

LCM of Fractions 36/75,51/638,538/183 is 164628

2 36, 51, 538
3 18, 51, 269
6, 17, 269

∴ So the LCM of the given numbers is 2 x 3 x 6 x 17 x 269 = 164628

Least Common Multiple of 36,51,538 with GCF Formula

Least Common Multiple of 36,51,538 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 36,51,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,51,538) = 1

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

GCF(36,51,538) x common factors =1 x 6 = 6

LCM(36,51,538) = ( 36 × 51 × 538 ) / 6

LCM(36,51,538) = 987768 / 6

LCM(36,51,538) = 164628


Lets's calculate GCF of 75,638,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164628/1

Therefore the LCM of Fractions 36/75,51/638,538/183 is 164628

Greatest Common Factor of 75,638,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,638,183 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 75,638,183 . The biggest common factor number is the GCF number.
So the greatest common factor 75,638,183 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 36/75, 51/638, 538/183

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 36/75, 51/638, 538/183?

Answer: LCM of Numerators as per given numbers 36/75, 51/638, 538/183 is

LCM of Numerators i.e. for 36,51,538 is 164628

GCF of denominators i.e. for 75,638,183 is 1.

Thus, LCM of Fractions is 164628.Finally, LCM of Fractions for 36/75, 51/638, 538/183 is 164628.