Least Common Multiple of 81/297, 69/594, 223/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/297, 69/594, 223/573 quickly i.e. 138483 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/297, 69/594, 223/573 is 138483.

LCM(81/297, 69/594, 223/573) = 138483

LCM of 81/297, 69/594, 223/573

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 81/297,69/594,223/573

Given numbers are 81/297,69/594,223/573

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 81,69,223

Least Common Multiple of Numerators i.e. LCM of 81,69,223 is 415449.

GCF of Denominators means GCF of 297,594,573 as per the given fractions.

GCF of 297,594,573 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,69,223

LCM of Fractions 81/297,69/594,223/573 is 138483

3 81, 69, 223
27, 23, 223

∴ So the LCM of the given numbers is 3 x 27 x 23 x 223 = 415449

Least Common Multiple of 81,69,223 with GCF Formula

Least Common Multiple of 81,69,223 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 81,69,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,69,223) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,69,223) x common factors =1 x 3 = 3

LCM(81,69,223) = ( 81 × 69 × 223 ) / 3

LCM(81,69,223) = 1246347 / 3

LCM(81,69,223) = 415449


Lets's calculate GCF of 297,594,573

3 297, 594, 573
99, 198, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415449/3

Therefore the LCM of Fractions 81/297,69/594,223/573 is 138483

Greatest Common Factor of 297,594,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,594,573 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 297,594,573 . The biggest common factor number is the GCF number.
So the greatest common factor 297,594,573 is 3.


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 81/297, 69/594, 223/573

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 81/297, 69/594, 223/573?

Answer: LCM of Numerators as per given numbers 81/297, 69/594, 223/573 is

LCM of Numerators i.e. for 81,69,223 is 415449

GCF of denominators i.e. for 297,594,573 is 3.

Thus, LCM of Fractions is 138483.Finally, LCM of Fractions for 81/297, 69/594, 223/573 is 138483.