Least Common Multiple of 9721/291, 9600/9147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9721/291, 9600/9147 quickly i.e. 31107200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9721/291, 9600/9147 is 31107200.

LCM(9721/291, 9600/9147) = 31107200

LCM of 9721/291, 9600/9147

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 9721/291,9600/9147

Given numbers are 9721/291,9600/9147

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 9721,9600

Least Common Multiple of Numerators i.e. LCM of 9721,9600 is 93321600.

GCF of Denominators means GCF of 291,9147 as per the given fractions.

GCF of 291,9147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9721,9600

LCM of Fractions 9721/291,9600/9147 is 31107200

Given numbers has no common factors except 1. So, there LCM is their product i.e 93321600

Least Common Multiple of 9721,9600 with GCF Formula

Least Common Multiple of 9721,9600 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 9721,9600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9721,9600) = 1

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

GCF(9721,9600) x common factors =1 x 1 = 1

LCM(9721,9600) = ( 9721 × 9600 ) / 1

LCM(9721,9600) = 93321600 / 1

LCM(9721,9600) = 93321600


Lets's calculate GCF of 291,9147

3 291, 9147
97, 3049

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93321600/3

Therefore the LCM of Fractions 9721/291,9600/9147 is 31107200

Greatest Common Factor of 291,9147 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,9147 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 9147

List of positive integer factors of 9147 that divides 9147 without a remainder.

1,3,3049,9147

Greatest Common Factor

We found the factors 291,9147 . The biggest common factor number is the GCF number.
So the greatest common factor 291,9147 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 9721/291, 9600/9147

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 9721/291, 9600/9147?

Answer: LCM of Numerators as per given numbers 9721/291, 9600/9147 is

LCM of Numerators i.e. for 9721,9600 is 93321600

GCF of denominators i.e. for 291,9147 is 3.

Thus, LCM of Fractions is 31107200.Finally, LCM of Fractions for 9721/291, 9600/9147 is 31107200.