Least Common Multiple of 82/57, 36/16, 75/41, 20/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/57, 36/16, 75/41, 20/181 quickly i.e. 36900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/57, 36/16, 75/41, 20/181 is 36900.

LCM(82/57, 36/16, 75/41, 20/181) = 36900

LCM of 82/57, 36/16, 75/41, 20/181

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 82/57,36/16,75/41,20/181

Given numbers are 82/57,36/16,75/41,20/181

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 82,36,75,20

Least Common Multiple of Numerators i.e. LCM of 82,36,75,20 is 36900.

GCF of Denominators means GCF of 57,16,41,181 as per the given fractions.

GCF of 57,16,41,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,36,75,20

LCM of Fractions 82/57,36/16,75/41,20/181 is 36900

2 82, 36, 75, 20
2 41, 18, 75, 10
3 41, 9, 75, 5
5 41, 3, 25, 5
41, 3, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 41 x 3 x 1 x 5 = 36900

Least Common Multiple of 82,36,75,20 with GCF Formula

Least Common Multiple of 82,36,75,20 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 82,36,75,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,36,75,20) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(82,36,75,20) x common factors =1 x 120 = 120

LCM(82,36,75,20) = ( 82 × 36 × 75 × 20 ) / 120

LCM(82,36,75,20) = 4428000 / 120

LCM(82,36,75,20) = 36900


Lets's calculate GCF of 57,16,41,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36900/1

Therefore the LCM of Fractions 82/57,36/16,75/41,20/181 is 36900

Greatest Common Factor of 57,16,41,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,16,41,181 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 41

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

1,41

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 57,16,41,181 . The biggest common factor number is the GCF number.
So the greatest common factor 57,16,41,181 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 82/57, 36/16, 75/41, 20/181

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 82/57, 36/16, 75/41, 20/181?

Answer: LCM of Numerators as per given numbers 82/57, 36/16, 75/41, 20/181 is

LCM of Numerators i.e. for 82,36,75,20 is 36900

GCF of denominators i.e. for 57,16,41,181 is 1.

Thus, LCM of Fractions is 36900.Finally, LCM of Fractions for 82/57, 36/16, 75/41, 20/181 is 36900.