Least Common Multiple of 9721/575, 2880/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9721/575, 2880/880 quickly i.e. 5599296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9721/575, 2880/880 is 5599296.

LCM(9721/575, 2880/880) = 5599296

LCM of 9721/575, 2880/880

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 9721/575,2880/880

Given numbers are 9721/575,2880/880

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 9721,2880

Least Common Multiple of Numerators i.e. LCM of 9721,2880 is 27996480.

GCF of Denominators means GCF of 575,880 as per the given fractions.

GCF of 575,880 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9721,2880

LCM of Fractions 9721/575,2880/880 is 5599296

Given numbers has no common factors except 1. So, there LCM is their product i.e 27996480

Least Common Multiple of 9721,2880 with GCF Formula

Least Common Multiple of 9721,2880 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 9721,2880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9721,2880) = 1

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

GCF(9721,2880) x common factors =1 x 1 = 1

LCM(9721,2880) = ( 9721 × 2880 ) / 1

LCM(9721,2880) = 27996480 / 1

LCM(9721,2880) = 27996480


Lets's calculate GCF of 575,880

5 575, 880
115, 176

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27996480/5

Therefore the LCM of Fractions 9721/575,2880/880 is 5599296

Greatest Common Factor of 575,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,880 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 575,880 . The biggest common factor number is the GCF number.
So the greatest common factor 575,880 is 5.


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 9721/575, 2880/880

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 9721/575, 2880/880?

Answer: LCM of Numerators as per given numbers 9721/575, 2880/880 is

LCM of Numerators i.e. for 9721,2880 is 27996480

GCF of denominators i.e. for 575,880 is 5.

Thus, LCM of Fractions is 5599296.Finally, LCM of Fractions for 9721/575, 2880/880 is 5599296.