Least Common Multiple of 789/29, 3243/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/29, 3243/319 quickly i.e. 852909/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/29, 3243/319 is 852909/29.

LCM(789/29, 3243/319) = 852909/29

LCM of 789/29, 3243/319

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 789/29,3243/319

Given numbers are 789/29,3243/319

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 789,3243

Least Common Multiple of Numerators i.e. LCM of 789,3243 is 852909.

GCF of Denominators means GCF of 29,319 as per the given fractions.

GCF of 29,319 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,3243

LCM of Fractions 789/29,3243/319 is 852909/29

3 789, 3243
263, 1081

∴ So the LCM of the given numbers is 3 x 263 x 1081 = 852909

Least Common Multiple of 789,3243 with GCF Formula

Least Common Multiple of 789,3243 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 789,3243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,3243) = 3

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

GCF(789,3243) x common factors =3 x 1 = 3

LCM(789,3243) = ( 789 × 3243 ) / 3

LCM(789,3243) = 2558727 / 3

LCM(789,3243) = 852909


Lets's calculate GCF of 29,319

29 29, 319
1, 11

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 852909/29

Therefore the LCM of Fractions 789/29,3243/319 is 852909/29

Greatest Common Factor of 29,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,319 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 29,319 . The biggest common factor number is the GCF number.
So the greatest common factor 29,319 is 29.


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 789/29, 3243/319

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 789/29, 3243/319?

Answer: LCM of Numerators as per given numbers 789/29, 3243/319 is

LCM of Numerators i.e. for 789,3243 is 852909

GCF of denominators i.e. for 29,319 is 29.

Thus, LCM of Fractions is 852909/29.Finally, LCM of Fractions for 789/29, 3243/319 is 852909/29.