Least Common Multiple of 9721/320, 5691/5800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9721/320, 5691/5800 quickly i.e. 55322211/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9721/320, 5691/5800 is 55322211/40.

LCM(9721/320, 5691/5800) = 55322211/40

LCM of 9721/320, 5691/5800

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 9721/320,5691/5800

Given numbers are 9721/320,5691/5800

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 9721,5691

Least Common Multiple of Numerators i.e. LCM of 9721,5691 is 55322211.

GCF of Denominators means GCF of 320,5800 as per the given fractions.

GCF of 320,5800 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9721,5691

LCM of Fractions 9721/320,5691/5800 is 55322211/40

Given numbers has no common factors except 1. So, there LCM is their product i.e 55322211

Least Common Multiple of 9721,5691 with GCF Formula

Least Common Multiple of 9721,5691 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 9721,5691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9721,5691) = 1

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

GCF(9721,5691) x common factors =1 x 1 = 1

LCM(9721,5691) = ( 9721 × 5691 ) / 1

LCM(9721,5691) = 55322211 / 1

LCM(9721,5691) = 55322211


Lets's calculate GCF of 320,5800

2 320, 5800
2 160, 2900
2 80, 1450
5 40, 725
8, 145

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55322211/40

Therefore the LCM of Fractions 9721/320,5691/5800 is 55322211/40

Greatest Common Factor of 320,5800 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,5800 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 5800

List of positive integer factors of 5800 that divides 5800 without a remainder.

1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800

Greatest Common Factor

We found the factors 320,5800 . The biggest common factor number is the GCF number.
So the greatest common factor 320,5800 is 40.


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 9721/320, 5691/5800

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 9721/320, 5691/5800?

Answer: LCM of Numerators as per given numbers 9721/320, 5691/5800 is

LCM of Numerators i.e. for 9721,5691 is 55322211

GCF of denominators i.e. for 320,5800 is 40.

Thus, LCM of Fractions is 55322211/40.Finally, LCM of Fractions for 9721/320, 5691/5800 is 55322211/40.