Least Common Multiple of 9/96, 704/99, 113/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/96, 704/99, 113/36 quickly i.e. 238656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/96, 704/99, 113/36 is 238656.

LCM(9/96, 704/99, 113/36) = 238656

LCM of 9/96, 704/99, 113/36

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 9/96,704/99,113/36

Given numbers are 9/96,704/99,113/36

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 9,704,113

Least Common Multiple of Numerators i.e. LCM of 9,704,113 is 715968.

GCF of Denominators means GCF of 96,99,36 as per the given fractions.

GCF of 96,99,36 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,704,113

LCM of Fractions 9/96,704/99,113/36 is 238656

Given numbers has no common factors except 1. So, there LCM is their product i.e 715968

Least Common Multiple of 9,704,113 with GCF Formula

Least Common Multiple of 9,704,113 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 9,704,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,704,113) = 1

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

GCF(9,704,113) x common factors =1 x 1 = 1

LCM(9,704,113) = ( 9 × 704 × 113 ) / 1

LCM(9,704,113) = 715968 / 1

LCM(9,704,113) = 715968


Lets's calculate GCF of 96,99,36

3 96, 99, 36
32, 33, 12

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 715968/3

Therefore the LCM of Fractions 9/96,704/99,113/36 is 238656

Greatest Common Factor of 96,99,36 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,99,36 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Greatest Common Factor

We found the factors 96,99,36 . The biggest common factor number is the GCF number.
So the greatest common factor 96,99,36 is 3.


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 9/96, 704/99, 113/36

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 9/96, 704/99, 113/36?

Answer: LCM of Numerators as per given numbers 9/96, 704/99, 113/36 is

LCM of Numerators i.e. for 9,704,113 is 715968

GCF of denominators i.e. for 96,99,36 is 3.

Thus, LCM of Fractions is 238656.Finally, LCM of Fractions for 9/96, 704/99, 113/36 is 238656.