Least Common Multiple of 9939/722, 4761/8542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9939/722, 4761/8542 quickly i.e. 15773193/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9939/722, 4761/8542 is 15773193/2.

LCM(9939/722, 4761/8542) = 15773193/2

LCM of 9939/722, 4761/8542

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 9939/722,4761/8542

Given numbers are 9939/722,4761/8542

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 9939,4761

Least Common Multiple of Numerators i.e. LCM of 9939,4761 is 15773193.

GCF of Denominators means GCF of 722,8542 as per the given fractions.

GCF of 722,8542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9939,4761

LCM of Fractions 9939/722,4761/8542 is 15773193/2

3 9939, 4761
3313, 1587

∴ So the LCM of the given numbers is 3 x 3313 x 1587 = 15773193

Least Common Multiple of 9939,4761 with GCF Formula

Least Common Multiple of 9939,4761 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 9939,4761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9939,4761) = 3

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

GCF(9939,4761) x common factors =3 x 1 = 3

LCM(9939,4761) = ( 9939 × 4761 ) / 3

LCM(9939,4761) = 47319579 / 3

LCM(9939,4761) = 15773193


Lets's calculate GCF of 722,8542

2 722, 8542
361, 4271

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15773193/2

Therefore the LCM of Fractions 9939/722,4761/8542 is 15773193/2

Greatest Common Factor of 722,8542 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,8542 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 8542

List of positive integer factors of 8542 that divides 8542 without a remainder.

1,2,4271,8542

Greatest Common Factor

We found the factors 722,8542 . The biggest common factor number is the GCF number.
So the greatest common factor 722,8542 is 2.


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 9939/722, 4761/8542

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 9939/722, 4761/8542?

Answer: LCM of Numerators as per given numbers 9939/722, 4761/8542 is

LCM of Numerators i.e. for 9939,4761 is 15773193

GCF of denominators i.e. for 722,8542 is 2.

Thus, LCM of Fractions is 15773193/2.Finally, LCM of Fractions for 9939/722, 4761/8542 is 15773193/2.