Least Common Multiple of 5102/459, 3643/8193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5102/459, 3643/8193 quickly i.e. 18586586/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5102/459, 3643/8193 is 18586586/3.

LCM(5102/459, 3643/8193) = 18586586/3

LCM of 5102/459, 3643/8193

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 5102/459,3643/8193

Given numbers are 5102/459,3643/8193

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 5102,3643

Least Common Multiple of Numerators i.e. LCM of 5102,3643 is 18586586.

GCF of Denominators means GCF of 459,8193 as per the given fractions.

GCF of 459,8193 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5102,3643

LCM of Fractions 5102/459,3643/8193 is 18586586/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 18586586

Least Common Multiple of 5102,3643 with GCF Formula

Least Common Multiple of 5102,3643 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 5102,3643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5102,3643) = 1

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

GCF(5102,3643) x common factors =1 x 1 = 1

LCM(5102,3643) = ( 5102 × 3643 ) / 1

LCM(5102,3643) = 18586586 / 1

LCM(5102,3643) = 18586586


Lets's calculate GCF of 459,8193

3 459, 8193
153, 2731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18586586/3

Therefore the LCM of Fractions 5102/459,3643/8193 is 18586586/3

Greatest Common Factor of 459,8193 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,8193 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 8193

List of positive integer factors of 8193 that divides 8193 without a remainder.

1,3,2731,8193

Greatest Common Factor

We found the factors 459,8193 . The biggest common factor number is the GCF number.
So the greatest common factor 459,8193 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 5102/459, 3643/8193

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 5102/459, 3643/8193?

Answer: LCM of Numerators as per given numbers 5102/459, 3643/8193 is

LCM of Numerators i.e. for 5102,3643 is 18586586

GCF of denominators i.e. for 459,8193 is 3.

Thus, LCM of Fractions is 18586586/3.Finally, LCM of Fractions for 5102/459, 3643/8193 is 18586586/3.