Least Common Multiple of 24/198, 729/51, 233/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/198, 729/51, 233/943 quickly i.e. 1358856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/198, 729/51, 233/943 is 1358856.

LCM(24/198, 729/51, 233/943) = 1358856

LCM of 24/198, 729/51, 233/943

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 24/198,729/51,233/943

Given numbers are 24/198,729/51,233/943

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 24,729,233

Least Common Multiple of Numerators i.e. LCM of 24,729,233 is 1358856.

GCF of Denominators means GCF of 198,51,943 as per the given fractions.

GCF of 198,51,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,729,233

LCM of Fractions 24/198,729/51,233/943 is 1358856

3 24, 729, 233
8, 243, 233

∴ So the LCM of the given numbers is 3 x 8 x 243 x 233 = 1358856

Least Common Multiple of 24,729,233 with GCF Formula

Least Common Multiple of 24,729,233 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 24,729,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,729,233) = 1

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

GCF(24,729,233) x common factors =1 x 3 = 3

LCM(24,729,233) = ( 24 × 729 × 233 ) / 3

LCM(24,729,233) = 4076568 / 3

LCM(24,729,233) = 1358856


Lets's calculate GCF of 198,51,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1358856/1

Therefore the LCM of Fractions 24/198,729/51,233/943 is 1358856

Greatest Common Factor of 198,51,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,51,943 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 198,51,943 . The biggest common factor number is the GCF number.
So the greatest common factor 198,51,943 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 24/198, 729/51, 233/943

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 24/198, 729/51, 233/943?

Answer: LCM of Numerators as per given numbers 24/198, 729/51, 233/943 is

LCM of Numerators i.e. for 24,729,233 is 1358856

GCF of denominators i.e. for 198,51,943 is 1.

Thus, LCM of Fractions is 1358856.Finally, LCM of Fractions for 24/198, 729/51, 233/943 is 1358856.