Least Common Multiple of 5408/644, 8983/7889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5408/644, 8983/7889 quickly i.e. 3736928/161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5408/644, 8983/7889 is 3736928/161.

LCM(5408/644, 8983/7889) = 3736928/161

LCM of 5408/644, 8983/7889

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 5408/644,8983/7889

Given numbers are 5408/644,8983/7889

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 5408,8983

Least Common Multiple of Numerators i.e. LCM of 5408,8983 is 3736928.

GCF of Denominators means GCF of 644,7889 as per the given fractions.

GCF of 644,7889 is 161 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5408,8983

LCM of Fractions 5408/644,8983/7889 is 3736928/161

13 5408, 8983
416, 691

∴ So the LCM of the given numbers is 13 x 416 x 691 = 3736928

Least Common Multiple of 5408,8983 with GCF Formula

Least Common Multiple of 5408,8983 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 5408,8983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5408,8983) = 13

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

GCF(5408,8983) x common factors =13 x 1 = 13

LCM(5408,8983) = ( 5408 × 8983 ) / 13

LCM(5408,8983) = 48580064 / 13

LCM(5408,8983) = 3736928


Lets's calculate GCF of 644,7889

7 644, 7889
23 92, 1127
4, 49

∴ So the GCF of the given numbers is 7 x 23 = 161

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3736928/161

Therefore the LCM of Fractions 5408/644,8983/7889 is 3736928/161

Greatest Common Factor of 644,7889 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,7889 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 7889

List of positive integer factors of 7889 that divides 7889 without a remainder.

1,7,23,49,161,343,1127,7889

Greatest Common Factor

We found the factors 644,7889 . The biggest common factor number is the GCF number.
So the greatest common factor 644,7889 is 161.


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 5408/644, 8983/7889

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 5408/644, 8983/7889?

Answer: LCM of Numerators as per given numbers 5408/644, 8983/7889 is

LCM of Numerators i.e. for 5408,8983 is 3736928

GCF of denominators i.e. for 644,7889 is 161.

Thus, LCM of Fractions is 3736928/161.Finally, LCM of Fractions for 5408/644, 8983/7889 is 3736928/161.