Least Common Multiple of 9724/198, 3911/4302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9724/198, 3911/4302 quickly i.e. 38030564/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9724/198, 3911/4302 is 38030564/18.

LCM(9724/198, 3911/4302) = 38030564/18

LCM of 9724/198, 3911/4302

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 9724/198,3911/4302

Given numbers are 9724/198,3911/4302

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 9724,3911

Least Common Multiple of Numerators i.e. LCM of 9724,3911 is 38030564.

GCF of Denominators means GCF of 198,4302 as per the given fractions.

GCF of 198,4302 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9724,3911

LCM of Fractions 9724/198,3911/4302 is 38030564/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 38030564

Least Common Multiple of 9724,3911 with GCF Formula

Least Common Multiple of 9724,3911 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 9724,3911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9724,3911) = 1

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

GCF(9724,3911) x common factors =1 x 1 = 1

LCM(9724,3911) = ( 9724 × 3911 ) / 1

LCM(9724,3911) = 38030564 / 1

LCM(9724,3911) = 38030564


Lets's calculate GCF of 198,4302

2 198, 4302
3 99, 2151
3 33, 717
11, 239

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38030564/18

Therefore the LCM of Fractions 9724/198,3911/4302 is 38030564/18

Greatest Common Factor of 198,4302 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,4302 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 4302

List of positive integer factors of 4302 that divides 4302 without a remainder.

1,2,3,6,9,18,239,478,717,1434,2151,4302

Greatest Common Factor

We found the factors 198,4302 . The biggest common factor number is the GCF number.
So the greatest common factor 198,4302 is 18.


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 9724/198, 3911/4302

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 9724/198, 3911/4302?

Answer: LCM of Numerators as per given numbers 9724/198, 3911/4302 is

LCM of Numerators i.e. for 9724,3911 is 38030564

GCF of denominators i.e. for 198,4302 is 18.

Thus, LCM of Fractions is 38030564/18.Finally, LCM of Fractions for 9724/198, 3911/4302 is 38030564/18.