Least Common Multiple of 231/116, 513/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/116, 513/181 quickly i.e. 39501 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/116, 513/181 is 39501.

LCM(231/116, 513/181) = 39501

LCM of 231/116, 513/181

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 231/116,513/181

Given numbers are 231/116,513/181

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 231,513

Least Common Multiple of Numerators i.e. LCM of 231,513 is 39501.

GCF of Denominators means GCF of 116,181 as per the given fractions.

GCF of 116,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,513

LCM of Fractions 231/116,513/181 is 39501

3 231, 513
77, 171

∴ So the LCM of the given numbers is 3 x 77 x 171 = 39501

Least Common Multiple of 231,513 with GCF Formula

Least Common Multiple of 231,513 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 231,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,513) = 3

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

GCF(231,513) x common factors =3 x 1 = 3

LCM(231,513) = ( 231 × 513 ) / 3

LCM(231,513) = 118503 / 3

LCM(231,513) = 39501


Lets's calculate GCF of 116,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39501/1

Therefore the LCM of Fractions 231/116,513/181 is 39501

Greatest Common Factor of 116,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,181 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

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 116,181 . The biggest common factor number is the GCF number.
So the greatest common factor 116,181 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 231/116, 513/181

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 231/116, 513/181?

Answer: LCM of Numerators as per given numbers 231/116, 513/181 is

LCM of Numerators i.e. for 231,513 is 39501

GCF of denominators i.e. for 116,181 is 1.

Thus, LCM of Fractions is 39501.Finally, LCM of Fractions for 231/116, 513/181 is 39501.