Least Common Multiple of 103/846, 713/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/846, 713/243 quickly i.e. 73439/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/846, 713/243 is 73439/9.

LCM(103/846, 713/243) = 73439/9

LCM of 103/846, 713/243

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 103/846,713/243

Given numbers are 103/846,713/243

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 103,713

Least Common Multiple of Numerators i.e. LCM of 103,713 is 73439.

GCF of Denominators means GCF of 846,243 as per the given fractions.

GCF of 846,243 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,713

LCM of Fractions 103/846,713/243 is 73439/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 73439

Least Common Multiple of 103,713 with GCF Formula

Least Common Multiple of 103,713 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 103,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,713) = 1

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

GCF(103,713) x common factors =1 x 1 = 1

LCM(103,713) = ( 103 × 713 ) / 1

LCM(103,713) = 73439 / 1

LCM(103,713) = 73439


Lets's calculate GCF of 846,243

3 846, 243
3 282, 81
94, 27

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73439/9

Therefore the LCM of Fractions 103/846,713/243 is 73439/9

Greatest Common Factor of 846,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,243 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

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 846,243 . The biggest common factor number is the GCF number.
So the greatest common factor 846,243 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 103/846, 713/243

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 103/846, 713/243?

Answer: LCM of Numerators as per given numbers 103/846, 713/243 is

LCM of Numerators i.e. for 103,713 is 73439

GCF of denominators i.e. for 846,243 is 9.

Thus, LCM of Fractions is 73439/9.Finally, LCM of Fractions for 103/846, 713/243 is 73439/9.