Least Common Multiple of 75/198, 1752/2259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/198, 1752/2259 quickly i.e. 43800/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/198, 1752/2259 is 43800/9.

LCM(75/198, 1752/2259) = 43800/9

LCM of 75/198, 1752/2259

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 75/198,1752/2259

Given numbers are 75/198,1752/2259

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 75,1752

Least Common Multiple of Numerators i.e. LCM of 75,1752 is 43800.

GCF of Denominators means GCF of 198,2259 as per the given fractions.

GCF of 198,2259 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,1752

LCM of Fractions 75/198,1752/2259 is 43800/9

3 75, 1752
25, 584

∴ So the LCM of the given numbers is 3 x 25 x 584 = 43800

Least Common Multiple of 75,1752 with GCF Formula

Least Common Multiple of 75,1752 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 75,1752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,1752) = 3

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

GCF(75,1752) x common factors =3 x 1 = 3

LCM(75,1752) = ( 75 × 1752 ) / 3

LCM(75,1752) = 131400 / 3

LCM(75,1752) = 43800


Lets's calculate GCF of 198,2259

3 198, 2259
3 66, 753
22, 251

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43800/9

Therefore the LCM of Fractions 75/198,1752/2259 is 43800/9

Greatest Common Factor of 198,2259 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,2259 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 2259

List of positive integer factors of 2259 that divides 2259 without a remainder.

1,3,9,251,753,2259

Greatest Common Factor

We found the factors 198,2259 . The biggest common factor number is the GCF number.
So the greatest common factor 198,2259 is 9.


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 75/198, 1752/2259

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 75/198, 1752/2259?

Answer: LCM of Numerators as per given numbers 75/198, 1752/2259 is

LCM of Numerators i.e. for 75,1752 is 43800

GCF of denominators i.e. for 198,2259 is 9.

Thus, LCM of Fractions is 43800/9.Finally, LCM of Fractions for 75/198, 1752/2259 is 43800/9.