Least Common Multiple of 9983/309, 4883/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9983/309, 4883/684 quickly i.e. 48746989/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9983/309, 4883/684 is 48746989/3.

LCM(9983/309, 4883/684) = 48746989/3

LCM of 9983/309, 4883/684

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 9983/309,4883/684

Given numbers are 9983/309,4883/684

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 9983,4883

Least Common Multiple of Numerators i.e. LCM of 9983,4883 is 48746989.

GCF of Denominators means GCF of 309,684 as per the given fractions.

GCF of 309,684 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9983,4883

LCM of Fractions 9983/309,4883/684 is 48746989/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 48746989

Least Common Multiple of 9983,4883 with GCF Formula

Least Common Multiple of 9983,4883 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 9983,4883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9983,4883) = 1

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

GCF(9983,4883) x common factors =1 x 1 = 1

LCM(9983,4883) = ( 9983 × 4883 ) / 1

LCM(9983,4883) = 48746989 / 1

LCM(9983,4883) = 48746989


Lets's calculate GCF of 309,684

3 309, 684
103, 228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48746989/3

Therefore the LCM of Fractions 9983/309,4883/684 is 48746989/3

Greatest Common Factor of 309,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,684 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 309,684 . The biggest common factor number is the GCF number.
So the greatest common factor 309,684 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 9983/309, 4883/684

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 9983/309, 4883/684?

Answer: LCM of Numerators as per given numbers 9983/309, 4883/684 is

LCM of Numerators i.e. for 9983,4883 is 48746989

GCF of denominators i.e. for 309,684 is 3.

Thus, LCM of Fractions is 48746989/3.Finally, LCM of Fractions for 9983/309, 4883/684 is 48746989/3.