Least Common Multiple of 1461/243, 8621/4394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1461/243, 8621/4394 quickly i.e. 12595281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1461/243, 8621/4394 is 12595281.

LCM(1461/243, 8621/4394) = 12595281

LCM of 1461/243, 8621/4394

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 1461/243,8621/4394

Given numbers are 1461/243,8621/4394

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 1461,8621

Least Common Multiple of Numerators i.e. LCM of 1461,8621 is 12595281.

GCF of Denominators means GCF of 243,4394 as per the given fractions.

GCF of 243,4394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1461,8621

LCM of Fractions 1461/243,8621/4394 is 12595281

Given numbers has no common factors except 1. So, there LCM is their product i.e 12595281

Least Common Multiple of 1461,8621 with GCF Formula

Least Common Multiple of 1461,8621 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 1461,8621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1461,8621) = 1

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

GCF(1461,8621) x common factors =1 x 1 = 1

LCM(1461,8621) = ( 1461 × 8621 ) / 1

LCM(1461,8621) = 12595281 / 1

LCM(1461,8621) = 12595281


Lets's calculate GCF of 243,4394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12595281/1

Therefore the LCM of Fractions 1461/243,8621/4394 is 12595281

Greatest Common Factor of 243,4394 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,4394 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 4394

List of positive integer factors of 4394 that divides 4394 without a remainder.

1,2,13,26,169,338,2197,4394

Greatest Common Factor

We found the factors 243,4394 . The biggest common factor number is the GCF number.
So the greatest common factor 243,4394 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1461/243, 8621/4394

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 1461/243, 8621/4394?

Answer: LCM of Numerators as per given numbers 1461/243, 8621/4394 is

LCM of Numerators i.e. for 1461,8621 is 12595281

GCF of denominators i.e. for 243,4394 is 1.

Thus, LCM of Fractions is 12595281.Finally, LCM of Fractions for 1461/243, 8621/4394 is 12595281.