Least Common Multiple of 3168/221, 5723/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3168/221, 5723/391 quickly i.e. 18130464/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3168/221, 5723/391 is 18130464/17.

LCM(3168/221, 5723/391) = 18130464/17

LCM of 3168/221, 5723/391

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 3168/221,5723/391

Given numbers are 3168/221,5723/391

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 3168,5723

Least Common Multiple of Numerators i.e. LCM of 3168,5723 is 18130464.

GCF of Denominators means GCF of 221,391 as per the given fractions.

GCF of 221,391 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3168,5723

LCM of Fractions 3168/221,5723/391 is 18130464/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 18130464

Least Common Multiple of 3168,5723 with GCF Formula

Least Common Multiple of 3168,5723 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 3168,5723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3168,5723) = 1

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

GCF(3168,5723) x common factors =1 x 1 = 1

LCM(3168,5723) = ( 3168 × 5723 ) / 1

LCM(3168,5723) = 18130464 / 1

LCM(3168,5723) = 18130464


Lets's calculate GCF of 221,391

17 221, 391
13, 23

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18130464/17

Therefore the LCM of Fractions 3168/221,5723/391 is 18130464/17

Greatest Common Factor of 221,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,391 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 221,391 . The biggest common factor number is the GCF number.
So the greatest common factor 221,391 is 17.


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 3168/221, 5723/391

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 3168/221, 5723/391?

Answer: LCM of Numerators as per given numbers 3168/221, 5723/391 is

LCM of Numerators i.e. for 3168,5723 is 18130464

GCF of denominators i.e. for 221,391 is 17.

Thus, LCM of Fractions is 18130464/17.Finally, LCM of Fractions for 3168/221, 5723/391 is 18130464/17.