Least Common Multiple of 7337/16, 9944/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7337/16, 9944/183 quickly i.e. 6632648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7337/16, 9944/183 is 6632648.

LCM(7337/16, 9944/183) = 6632648

LCM of 7337/16, 9944/183

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 7337/16,9944/183

Given numbers are 7337/16,9944/183

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 7337,9944

Least Common Multiple of Numerators i.e. LCM of 7337,9944 is 6632648.

GCF of Denominators means GCF of 16,183 as per the given fractions.

GCF of 16,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7337,9944

LCM of Fractions 7337/16,9944/183 is 6632648

11 7337, 9944
667, 904

∴ So the LCM of the given numbers is 11 x 667 x 904 = 6632648

Least Common Multiple of 7337,9944 with GCF Formula

Least Common Multiple of 7337,9944 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 7337,9944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7337,9944) = 11

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

GCF(7337,9944) x common factors =11 x 1 = 11

LCM(7337,9944) = ( 7337 × 9944 ) / 11

LCM(7337,9944) = 72959128 / 11

LCM(7337,9944) = 6632648


Lets's calculate GCF of 16,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6632648/1

Therefore the LCM of Fractions 7337/16,9944/183 is 6632648

Greatest Common Factor of 16,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,183 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 16,183 . The biggest common factor number is the GCF number.
So the greatest common factor 16,183 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 7337/16, 9944/183

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 7337/16, 9944/183?

Answer: LCM of Numerators as per given numbers 7337/16, 9944/183 is

LCM of Numerators i.e. for 7337,9944 is 6632648

GCF of denominators i.e. for 16,183 is 1.

Thus, LCM of Fractions is 6632648.Finally, LCM of Fractions for 7337/16, 9944/183 is 6632648.