Least Common Multiple of 727/527, 812/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 727/527, 812/243 quickly i.e. 590324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/527, 812/243 is 590324.

LCM(727/527, 812/243) = 590324

LCM of 727/527, 812/243

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 727/527,812/243

Given numbers are 727/527,812/243

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 727,812

Least Common Multiple of Numerators i.e. LCM of 727,812 is 590324.

GCF of Denominators means GCF of 527,243 as per the given fractions.

GCF of 527,243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,812

LCM of Fractions 727/527,812/243 is 590324

Given numbers has no common factors except 1. So, there LCM is their product i.e 590324

Least Common Multiple of 727,812 with GCF Formula

Least Common Multiple of 727,812 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 727,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,812) = 1

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

GCF(727,812) x common factors =1 x 1 = 1

LCM(727,812) = ( 727 × 812 ) / 1

LCM(727,812) = 590324 / 1

LCM(727,812) = 590324


Lets's calculate GCF of 527,243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 590324/1

Therefore the LCM of Fractions 727/527,812/243 is 590324

Greatest Common Factor of 527,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,243 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 243

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

1,3,9,27,81,243

Greatest Common Factor

We found the factors 527,243 . The biggest common factor number is the GCF number.
So the greatest common factor 527,243 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 727/527, 812/243

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 727/527, 812/243?

Answer: LCM of Numerators as per given numbers 727/527, 812/243 is

LCM of Numerators i.e. for 727,812 is 590324

GCF of denominators i.e. for 527,243 is 1.

Thus, LCM of Fractions is 590324.Finally, LCM of Fractions for 727/527, 812/243 is 590324.