Least Common Multiple of 243/30, 476/61, 744/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/30, 476/61, 744/81 quickly i.e. 7171416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/30, 476/61, 744/81 is 7171416.

LCM(243/30, 476/61, 744/81) = 7171416

LCM of 243/30, 476/61, 744/81

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 243/30,476/61,744/81

Given numbers are 243/30,476/61,744/81

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 243,476,744

Least Common Multiple of Numerators i.e. LCM of 243,476,744 is 7171416.

GCF of Denominators means GCF of 30,61,81 as per the given fractions.

GCF of 30,61,81 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,476,744

LCM of Fractions 243/30,476/61,744/81 is 7171416

2 243, 476, 744
2 243, 238, 372
3 243, 119, 186
81, 119, 62

∴ So the LCM of the given numbers is 2 x 2 x 3 x 81 x 119 x 62 = 7171416

Least Common Multiple of 243,476,744 with GCF Formula

Least Common Multiple of 243,476,744 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 243,476,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,476,744) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(243,476,744) x common factors =1 x 12 = 12

LCM(243,476,744) = ( 243 × 476 × 744 ) / 12

LCM(243,476,744) = 86056992 / 12

LCM(243,476,744) = 7171416


Lets's calculate GCF of 30,61,81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7171416/1

Therefore the LCM of Fractions 243/30,476/61,744/81 is 7171416

Greatest Common Factor of 30,61,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,61,81 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 30,61,81 . The biggest common factor number is the GCF number.
So the greatest common factor 30,61,81 is 1.


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 243/30, 476/61, 744/81

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 243/30, 476/61, 744/81?

Answer: LCM of Numerators as per given numbers 243/30, 476/61, 744/81 is

LCM of Numerators i.e. for 243,476,744 is 7171416

GCF of denominators i.e. for 30,61,81 is 1.

Thus, LCM of Fractions is 7171416.Finally, LCM of Fractions for 243/30, 476/61, 744/81 is 7171416.