Least Common Multiple of 589/243, 5727/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/243, 5727/225 quickly i.e. 3373203/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/243, 5727/225 is 3373203/9.

LCM(589/243, 5727/225) = 3373203/9

LCM of 589/243, 5727/225

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 589/243,5727/225

Given numbers are 589/243,5727/225

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 589,5727

Least Common Multiple of Numerators i.e. LCM of 589,5727 is 3373203.

GCF of Denominators means GCF of 243,225 as per the given fractions.

GCF of 243,225 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,5727

LCM of Fractions 589/243,5727/225 is 3373203/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 3373203

Least Common Multiple of 589,5727 with GCF Formula

Least Common Multiple of 589,5727 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 589,5727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,5727) = 1

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

GCF(589,5727) x common factors =1 x 1 = 1

LCM(589,5727) = ( 589 × 5727 ) / 1

LCM(589,5727) = 3373203 / 1

LCM(589,5727) = 3373203


Lets's calculate GCF of 243,225

3 243, 225
3 81, 75
27, 25

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3373203/9

Therefore the LCM of Fractions 589/243,5727/225 is 3373203/9

Greatest Common Factor of 243,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,225 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 243,225 . The biggest common factor number is the GCF number.
So the greatest common factor 243,225 is 9.


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 589/243, 5727/225

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 589/243, 5727/225?

Answer: LCM of Numerators as per given numbers 589/243, 5727/225 is

LCM of Numerators i.e. for 589,5727 is 3373203

GCF of denominators i.e. for 243,225 is 9.

Thus, LCM of Fractions is 3373203/9.Finally, LCM of Fractions for 589/243, 5727/225 is 3373203/9.