Least Common Multiple of 181/33, 204/89, 541/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 181/33, 204/89, 541/138 quickly i.e. 19975884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 181/33, 204/89, 541/138 is 19975884.

LCM(181/33, 204/89, 541/138) = 19975884

LCM of 181/33, 204/89, 541/138

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 181/33,204/89,541/138

Given numbers are 181/33,204/89,541/138

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 181,204,541

Least Common Multiple of Numerators i.e. LCM of 181,204,541 is 19975884.

GCF of Denominators means GCF of 33,89,138 as per the given fractions.

GCF of 33,89,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 181,204,541

LCM of Fractions 181/33,204/89,541/138 is 19975884

Given numbers has no common factors except 1. So, there LCM is their product i.e 19975884

Least Common Multiple of 181,204,541 with GCF Formula

Least Common Multiple of 181,204,541 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 181,204,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,204,541) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(181,204,541) x common factors =1 x 1 = 1

LCM(181,204,541) = ( 181 × 204 × 541 ) / 1

LCM(181,204,541) = 19975884 / 1

LCM(181,204,541) = 19975884


Lets's calculate GCF of 33,89,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19975884/1

Therefore the LCM of Fractions 181/33,204/89,541/138 is 19975884

Greatest Common Factor of 33,89,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,89,138 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 33,89,138 . The biggest common factor number is the GCF number.
So the greatest common factor 33,89,138 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 181/33, 204/89, 541/138

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 181/33, 204/89, 541/138?

Answer: LCM of Numerators as per given numbers 181/33, 204/89, 541/138 is

LCM of Numerators i.e. for 181,204,541 is 19975884

GCF of denominators i.e. for 33,89,138 is 1.

Thus, LCM of Fractions is 19975884.Finally, LCM of Fractions for 181/33, 204/89, 541/138 is 19975884.