Least Common Multiple of 123/99, 309/3219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/99, 309/3219 quickly i.e. 4223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/99, 309/3219 is 4223.

LCM(123/99, 309/3219) = 4223

LCM of 123/99, 309/3219

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 123/99,309/3219

Given numbers are 123/99,309/3219

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 123,309

Least Common Multiple of Numerators i.e. LCM of 123,309 is 12669.

GCF of Denominators means GCF of 99,3219 as per the given fractions.

GCF of 99,3219 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,309

LCM of Fractions 123/99,309/3219 is 4223

3 123, 309
41, 103

∴ So the LCM of the given numbers is 3 x 41 x 103 = 12669

Least Common Multiple of 123,309 with GCF Formula

Least Common Multiple of 123,309 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 123,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,309) = 3

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

GCF(123,309) x common factors =3 x 1 = 3

LCM(123,309) = ( 123 × 309 ) / 3

LCM(123,309) = 38007 / 3

LCM(123,309) = 12669


Lets's calculate GCF of 99,3219

3 99, 3219
33, 1073

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12669/3

Therefore the LCM of Fractions 123/99,309/3219 is 4223

Greatest Common Factor of 99,3219 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,3219 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 3219

List of positive integer factors of 3219 that divides 3219 without a remainder.

1,3,29,37,87,111,1073,3219

Greatest Common Factor

We found the factors 99,3219 . The biggest common factor number is the GCF number.
So the greatest common factor 99,3219 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 123/99, 309/3219

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 123/99, 309/3219?

Answer: LCM of Numerators as per given numbers 123/99, 309/3219 is

LCM of Numerators i.e. for 123,309 is 12669

GCF of denominators i.e. for 99,3219 is 3.

Thus, LCM of Fractions is 4223.Finally, LCM of Fractions for 123/99, 309/3219 is 4223.