Least Common Multiple of 502/819, 8832/5313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 502/819, 8832/5313 quickly i.e. 2216832/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 502/819, 8832/5313 is 2216832/21.

LCM(502/819, 8832/5313) = 2216832/21

LCM of 502/819, 8832/5313

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 502/819,8832/5313

Given numbers are 502/819,8832/5313

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 502,8832

Least Common Multiple of Numerators i.e. LCM of 502,8832 is 2216832.

GCF of Denominators means GCF of 819,5313 as per the given fractions.

GCF of 819,5313 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 502,8832

LCM of Fractions 502/819,8832/5313 is 2216832/21

2 502, 8832
251, 4416

∴ So the LCM of the given numbers is 2 x 251 x 4416 = 2216832

Least Common Multiple of 502,8832 with GCF Formula

Least Common Multiple of 502,8832 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 502,8832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,8832) = 2

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

GCF(502,8832) x common factors =2 x 1 = 2

LCM(502,8832) = ( 502 × 8832 ) / 2

LCM(502,8832) = 4433664 / 2

LCM(502,8832) = 2216832


Lets's calculate GCF of 819,5313

3 819, 5313
7 273, 1771
39, 253

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2216832/21

Therefore the LCM of Fractions 502/819,8832/5313 is 2216832/21

Greatest Common Factor of 819,5313 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,5313 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 5313

List of positive integer factors of 5313 that divides 5313 without a remainder.

1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313

Greatest Common Factor

We found the factors 819,5313 . The biggest common factor number is the GCF number.
So the greatest common factor 819,5313 is 21.


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 502/819, 8832/5313

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 502/819, 8832/5313?

Answer: LCM of Numerators as per given numbers 502/819, 8832/5313 is

LCM of Numerators i.e. for 502,8832 is 2216832

GCF of denominators i.e. for 819,5313 is 21.

Thus, LCM of Fractions is 2216832/21.Finally, LCM of Fractions for 502/819, 8832/5313 is 2216832/21.