Least Common Multiple of 243/791, 461/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/791, 461/329 quickly i.e. 112023/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/791, 461/329 is 112023/7.

LCM(243/791, 461/329) = 112023/7

LCM of 243/791, 461/329

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 243/791,461/329

Given numbers are 243/791,461/329

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 243,461

Least Common Multiple of Numerators i.e. LCM of 243,461 is 112023.

GCF of Denominators means GCF of 791,329 as per the given fractions.

GCF of 791,329 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,461

LCM of Fractions 243/791,461/329 is 112023/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 112023

Least Common Multiple of 243,461 with GCF Formula

Least Common Multiple of 243,461 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 243,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,461) = 1

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

GCF(243,461) x common factors =1 x 1 = 1

LCM(243,461) = ( 243 × 461 ) / 1

LCM(243,461) = 112023 / 1

LCM(243,461) = 112023


Lets's calculate GCF of 791,329

7 791, 329
113, 47

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112023/7

Therefore the LCM of Fractions 243/791,461/329 is 112023/7

Greatest Common Factor of 791,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,329 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 791,329 . The biggest common factor number is the GCF number.
So the greatest common factor 791,329 is 7.


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 243/791, 461/329

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 243/791, 461/329?

Answer: LCM of Numerators as per given numbers 243/791, 461/329 is

LCM of Numerators i.e. for 243,461 is 112023

GCF of denominators i.e. for 791,329 is 7.

Thus, LCM of Fractions is 112023/7.Finally, LCM of Fractions for 243/791, 461/329 is 112023/7.