Least Common Multiple of 5736/198, 5901/5947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5736/198, 5901/5947 quickly i.e. 11282712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5736/198, 5901/5947 is 11282712.

LCM(5736/198, 5901/5947) = 11282712

LCM of 5736/198, 5901/5947

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 5736/198,5901/5947

Given numbers are 5736/198,5901/5947

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 5736,5901

Least Common Multiple of Numerators i.e. LCM of 5736,5901 is 11282712.

GCF of Denominators means GCF of 198,5947 as per the given fractions.

GCF of 198,5947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5736,5901

LCM of Fractions 5736/198,5901/5947 is 11282712

3 5736, 5901
1912, 1967

∴ So the LCM of the given numbers is 3 x 1912 x 1967 = 11282712

Least Common Multiple of 5736,5901 with GCF Formula

Least Common Multiple of 5736,5901 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 5736,5901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5736,5901) = 3

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

GCF(5736,5901) x common factors =3 x 1 = 3

LCM(5736,5901) = ( 5736 × 5901 ) / 3

LCM(5736,5901) = 33848136 / 3

LCM(5736,5901) = 11282712


Lets's calculate GCF of 198,5947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11282712/1

Therefore the LCM of Fractions 5736/198,5901/5947 is 11282712

Greatest Common Factor of 198,5947 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,5947 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 5947

List of positive integer factors of 5947 that divides 5947 without a remainder.

1,19,313,5947

Greatest Common Factor

We found the factors 198,5947 . The biggest common factor number is the GCF number.
So the greatest common factor 198,5947 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 5736/198, 5901/5947

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 5736/198, 5901/5947?

Answer: LCM of Numerators as per given numbers 5736/198, 5901/5947 is

LCM of Numerators i.e. for 5736,5901 is 11282712

GCF of denominators i.e. for 198,5947 is 1.

Thus, LCM of Fractions is 11282712.Finally, LCM of Fractions for 5736/198, 5901/5947 is 11282712.