Least Common Multiple of 199/990, 2432/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 199/990, 2432/789 quickly i.e. 483968/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/990, 2432/789 is 483968/3.

LCM(199/990, 2432/789) = 483968/3

LCM of 199/990, 2432/789

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 199/990,2432/789

Given numbers are 199/990,2432/789

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 199,2432

Least Common Multiple of Numerators i.e. LCM of 199,2432 is 483968.

GCF of Denominators means GCF of 990,789 as per the given fractions.

GCF of 990,789 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,2432

LCM of Fractions 199/990,2432/789 is 483968/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 483968

Least Common Multiple of 199,2432 with GCF Formula

Least Common Multiple of 199,2432 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 199,2432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,2432) = 1

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

GCF(199,2432) x common factors =1 x 1 = 1

LCM(199,2432) = ( 199 × 2432 ) / 1

LCM(199,2432) = 483968 / 1

LCM(199,2432) = 483968


Lets's calculate GCF of 990,789

3 990, 789
330, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483968/3

Therefore the LCM of Fractions 199/990,2432/789 is 483968/3

Greatest Common Factor of 990,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,789 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 990,789 . The biggest common factor number is the GCF number.
So the greatest common factor 990,789 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 199/990, 2432/789

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 199/990, 2432/789?

Answer: LCM of Numerators as per given numbers 199/990, 2432/789 is

LCM of Numerators i.e. for 199,2432 is 483968

GCF of denominators i.e. for 990,789 is 3.

Thus, LCM of Fractions is 483968/3.Finally, LCM of Fractions for 199/990, 2432/789 is 483968/3.