Least Common Multiple of 80/289, 5824/4067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/289, 5824/4067 quickly i.e. 29120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/289, 5824/4067 is 29120.

LCM(80/289, 5824/4067) = 29120

LCM of 80/289, 5824/4067

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 80/289,5824/4067

Given numbers are 80/289,5824/4067

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 80,5824

Least Common Multiple of Numerators i.e. LCM of 80,5824 is 29120.

GCF of Denominators means GCF of 289,4067 as per the given fractions.

GCF of 289,4067 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,5824

LCM of Fractions 80/289,5824/4067 is 29120

2 80, 5824
2 40, 2912
2 20, 1456
2 10, 728
5, 364

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 364 = 29120

Least Common Multiple of 80,5824 with GCF Formula

Least Common Multiple of 80,5824 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 80,5824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,5824) = 16

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

GCF(80,5824) x common factors =16 x 1 = 16

LCM(80,5824) = ( 80 × 5824 ) / 16

LCM(80,5824) = 465920 / 16

LCM(80,5824) = 29120


Lets's calculate GCF of 289,4067

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29120/1

Therefore the LCM of Fractions 80/289,5824/4067 is 29120

Greatest Common Factor of 289,4067 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,4067 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 4067

List of positive integer factors of 4067 that divides 4067 without a remainder.

1,7,49,83,581,4067

Greatest Common Factor

We found the factors 289,4067 . The biggest common factor number is the GCF number.
So the greatest common factor 289,4067 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 80/289, 5824/4067

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 80/289, 5824/4067?

Answer: LCM of Numerators as per given numbers 80/289, 5824/4067 is

LCM of Numerators i.e. for 80,5824 is 29120

GCF of denominators i.e. for 289,4067 is 1.

Thus, LCM of Fractions is 29120.Finally, LCM of Fractions for 80/289, 5824/4067 is 29120.