Least Common Multiple of 243/20, 219/5037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/20, 219/5037 quickly i.e. 17739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/20, 219/5037 is 17739.

LCM(243/20, 219/5037) = 17739

LCM of 243/20, 219/5037

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 243/20,219/5037

Given numbers are 243/20,219/5037

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 243,219

Least Common Multiple of Numerators i.e. LCM of 243,219 is 17739.

GCF of Denominators means GCF of 20,5037 as per the given fractions.

GCF of 20,5037 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,219

LCM of Fractions 243/20,219/5037 is 17739

3 243, 219
81, 73

∴ So the LCM of the given numbers is 3 x 81 x 73 = 17739

Least Common Multiple of 243,219 with GCF Formula

Least Common Multiple of 243,219 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 243,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,219) = 3

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

GCF(243,219) x common factors =3 x 1 = 3

LCM(243,219) = ( 243 × 219 ) / 3

LCM(243,219) = 53217 / 3

LCM(243,219) = 17739


Lets's calculate GCF of 20,5037

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17739/1

Therefore the LCM of Fractions 243/20,219/5037 is 17739

Greatest Common Factor of 20,5037 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,5037 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 5037

List of positive integer factors of 5037 that divides 5037 without a remainder.

1,3,23,69,73,219,1679,5037

Greatest Common Factor

We found the factors 20,5037 . The biggest common factor number is the GCF number.
So the greatest common factor 20,5037 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 243/20, 219/5037

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 243/20, 219/5037?

Answer: LCM of Numerators as per given numbers 243/20, 219/5037 is

LCM of Numerators i.e. for 243,219 is 17739

GCF of denominators i.e. for 20,5037 is 1.

Thus, LCM of Fractions is 17739.Finally, LCM of Fractions for 243/20, 219/5037 is 17739.