Least Common Multiple of 13/819, 114/715, 783/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/819, 114/715, 783/309 quickly i.e. 386802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/819, 114/715, 783/309 is 386802.

LCM(13/819, 114/715, 783/309) = 386802

LCM of 13/819, 114/715, 783/309

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 13/819,114/715,783/309

Given numbers are 13/819,114/715,783/309

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 13,114,783

Least Common Multiple of Numerators i.e. LCM of 13,114,783 is 386802.

GCF of Denominators means GCF of 819,715,309 as per the given fractions.

GCF of 819,715,309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,114,783

LCM of Fractions 13/819,114/715,783/309 is 386802

3 13, 114, 783
13, 38, 261

∴ So the LCM of the given numbers is 3 x 13 x 38 x 261 = 386802

Least Common Multiple of 13,114,783 with GCF Formula

Least Common Multiple of 13,114,783 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 13,114,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,114,783) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(13,114,783) x common factors =1 x 3 = 3

LCM(13,114,783) = ( 13 × 114 × 783 ) / 3

LCM(13,114,783) = 1160406 / 3

LCM(13,114,783) = 386802


Lets's calculate GCF of 819,715,309

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386802/1

Therefore the LCM of Fractions 13/819,114/715,783/309 is 386802

Greatest Common Factor of 819,715,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,715,309 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 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 309

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

1,3,103,309

Greatest Common Factor

We found the factors 819,715,309 . The biggest common factor number is the GCF number.
So the greatest common factor 819,715,309 is 1.


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 13/819, 114/715, 783/309

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 13/819, 114/715, 783/309?

Answer: LCM of Numerators as per given numbers 13/819, 114/715, 783/309 is

LCM of Numerators i.e. for 13,114,783 is 386802

GCF of denominators i.e. for 819,715,309 is 1.

Thus, LCM of Fractions is 386802.Finally, LCM of Fractions for 13/819, 114/715, 783/309 is 386802.