Least Common Multiple of 9959/13, 3044/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9959/13, 3044/728 quickly i.e. 30315196/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9959/13, 3044/728 is 30315196/13.

LCM(9959/13, 3044/728) = 30315196/13

LCM of 9959/13, 3044/728

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 9959/13,3044/728

Given numbers are 9959/13,3044/728

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 9959,3044

Least Common Multiple of Numerators i.e. LCM of 9959,3044 is 30315196.

GCF of Denominators means GCF of 13,728 as per the given fractions.

GCF of 13,728 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9959,3044

LCM of Fractions 9959/13,3044/728 is 30315196/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 30315196

Least Common Multiple of 9959,3044 with GCF Formula

Least Common Multiple of 9959,3044 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 9959,3044 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9959,3044) = 1

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

GCF(9959,3044) x common factors =1 x 1 = 1

LCM(9959,3044) = ( 9959 × 3044 ) / 1

LCM(9959,3044) = 30315196 / 1

LCM(9959,3044) = 30315196


Lets's calculate GCF of 13,728

13 13, 728
1, 56

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30315196/13

Therefore the LCM of Fractions 9959/13,3044/728 is 30315196/13

Greatest Common Factor of 13,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,728 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 13,728 . The biggest common factor number is the GCF number.
So the greatest common factor 13,728 is 13.


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 9959/13, 3044/728

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 9959/13, 3044/728?

Answer: LCM of Numerators as per given numbers 9959/13, 3044/728 is

LCM of Numerators i.e. for 9959,3044 is 30315196

GCF of denominators i.e. for 13,728 is 13.

Thus, LCM of Fractions is 30315196/13.Finally, LCM of Fractions for 9959/13, 3044/728 is 30315196/13.