Least Common Multiple of 5384/561, 3691/3979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5384/561, 3691/3979 quickly i.e. 19872344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5384/561, 3691/3979 is 19872344.

LCM(5384/561, 3691/3979) = 19872344

LCM of 5384/561, 3691/3979

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 5384/561,3691/3979

Given numbers are 5384/561,3691/3979

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 5384,3691

Least Common Multiple of Numerators i.e. LCM of 5384,3691 is 19872344.

GCF of Denominators means GCF of 561,3979 as per the given fractions.

GCF of 561,3979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5384,3691

LCM of Fractions 5384/561,3691/3979 is 19872344

Given numbers has no common factors except 1. So, there LCM is their product i.e 19872344

Least Common Multiple of 5384,3691 with GCF Formula

Least Common Multiple of 5384,3691 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 5384,3691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5384,3691) = 1

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

GCF(5384,3691) x common factors =1 x 1 = 1

LCM(5384,3691) = ( 5384 × 3691 ) / 1

LCM(5384,3691) = 19872344 / 1

LCM(5384,3691) = 19872344


Lets's calculate GCF of 561,3979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19872344/1

Therefore the LCM of Fractions 5384/561,3691/3979 is 19872344

Greatest Common Factor of 561,3979 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,3979 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 3979

List of positive integer factors of 3979 that divides 3979 without a remainder.

1,23,173,3979

Greatest Common Factor

We found the factors 561,3979 . The biggest common factor number is the GCF number.
So the greatest common factor 561,3979 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 5384/561, 3691/3979

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 5384/561, 3691/3979?

Answer: LCM of Numerators as per given numbers 5384/561, 3691/3979 is

LCM of Numerators i.e. for 5384,3691 is 19872344

GCF of denominators i.e. for 561,3979 is 1.

Thus, LCM of Fractions is 19872344.Finally, LCM of Fractions for 5384/561, 3691/3979 is 19872344.