Least Common Multiple of 144/89, 5617/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/89, 5617/191 quickly i.e. 808848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/89, 5617/191 is 808848.

LCM(144/89, 5617/191) = 808848

LCM of 144/89, 5617/191

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 144/89,5617/191

Given numbers are 144/89,5617/191

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 144,5617

Least Common Multiple of Numerators i.e. LCM of 144,5617 is 808848.

GCF of Denominators means GCF of 89,191 as per the given fractions.

GCF of 89,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,5617

LCM of Fractions 144/89,5617/191 is 808848

Given numbers has no common factors except 1. So, there LCM is their product i.e 808848

Least Common Multiple of 144,5617 with GCF Formula

Least Common Multiple of 144,5617 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 144,5617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,5617) = 1

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

GCF(144,5617) x common factors =1 x 1 = 1

LCM(144,5617) = ( 144 × 5617 ) / 1

LCM(144,5617) = 808848 / 1

LCM(144,5617) = 808848


Lets's calculate GCF of 89,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 808848/1

Therefore the LCM of Fractions 144/89,5617/191 is 808848

Greatest Common Factor of 89,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,191 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 89,191 . The biggest common factor number is the GCF number.
So the greatest common factor 89,191 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 144/89, 5617/191

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 144/89, 5617/191?

Answer: LCM of Numerators as per given numbers 144/89, 5617/191 is

LCM of Numerators i.e. for 144,5617 is 808848

GCF of denominators i.e. for 89,191 is 1.

Thus, LCM of Fractions is 808848.Finally, LCM of Fractions for 144/89, 5617/191 is 808848.