Least Common Multiple of 9242/99, 8172/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9242/99, 8172/204 quickly i.e. 12587604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9242/99, 8172/204 is 12587604.

LCM(9242/99, 8172/204) = 12587604

LCM of 9242/99, 8172/204

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 9242/99,8172/204

Given numbers are 9242/99,8172/204

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 9242,8172

Least Common Multiple of Numerators i.e. LCM of 9242,8172 is 37762812.

GCF of Denominators means GCF of 99,204 as per the given fractions.

GCF of 99,204 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9242,8172

LCM of Fractions 9242/99,8172/204 is 12587604

2 9242, 8172
4621, 4086

∴ So the LCM of the given numbers is 2 x 4621 x 4086 = 37762812

Least Common Multiple of 9242,8172 with GCF Formula

Least Common Multiple of 9242,8172 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 9242,8172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9242,8172) = 2

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

GCF(9242,8172) x common factors =2 x 1 = 2

LCM(9242,8172) = ( 9242 × 8172 ) / 2

LCM(9242,8172) = 75525624 / 2

LCM(9242,8172) = 37762812


Lets's calculate GCF of 99,204

3 99, 204
33, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37762812/3

Therefore the LCM of Fractions 9242/99,8172/204 is 12587604

Greatest Common Factor of 99,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,204 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 99,204 . The biggest common factor number is the GCF number.
So the greatest common factor 99,204 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 9242/99, 8172/204

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 9242/99, 8172/204?

Answer: LCM of Numerators as per given numbers 9242/99, 8172/204 is

LCM of Numerators i.e. for 9242,8172 is 37762812

GCF of denominators i.e. for 99,204 is 3.

Thus, LCM of Fractions is 12587604.Finally, LCM of Fractions for 9242/99, 8172/204 is 12587604.