Least Common Multiple of 216/29, 259/7281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/29, 259/7281 quickly i.e. 55944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/29, 259/7281 is 55944.

LCM(216/29, 259/7281) = 55944

LCM of 216/29, 259/7281

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 216/29,259/7281

Given numbers are 216/29,259/7281

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 216,259

Least Common Multiple of Numerators i.e. LCM of 216,259 is 55944.

GCF of Denominators means GCF of 29,7281 as per the given fractions.

GCF of 29,7281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,259

LCM of Fractions 216/29,259/7281 is 55944

Given numbers has no common factors except 1. So, there LCM is their product i.e 55944

Least Common Multiple of 216,259 with GCF Formula

Least Common Multiple of 216,259 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 216,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,259) = 1

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

GCF(216,259) x common factors =1 x 1 = 1

LCM(216,259) = ( 216 × 259 ) / 1

LCM(216,259) = 55944 / 1

LCM(216,259) = 55944


Lets's calculate GCF of 29,7281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55944/1

Therefore the LCM of Fractions 216/29,259/7281 is 55944

Greatest Common Factor of 29,7281 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,7281 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 7281

List of positive integer factors of 7281 that divides 7281 without a remainder.

1,3,9,809,2427,7281

Greatest Common Factor

We found the factors 29,7281 . The biggest common factor number is the GCF number.
So the greatest common factor 29,7281 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 216/29, 259/7281

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 216/29, 259/7281?

Answer: LCM of Numerators as per given numbers 216/29, 259/7281 is

LCM of Numerators i.e. for 216,259 is 55944

GCF of denominators i.e. for 29,7281 is 1.

Thus, LCM of Fractions is 55944.Finally, LCM of Fractions for 216/29, 259/7281 is 55944.