Least Common Multiple of 80/28, 538/89, 600/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/28, 538/89, 600/720 quickly i.e. 322800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/28, 538/89, 600/720 is 322800.

LCM(80/28, 538/89, 600/720) = 322800

LCM of 80/28, 538/89, 600/720

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 80/28,538/89,600/720

Given numbers are 80/28,538/89,600/720

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 80,538,600

Least Common Multiple of Numerators i.e. LCM of 80,538,600 is 322800.

GCF of Denominators means GCF of 28,89,720 as per the given fractions.

GCF of 28,89,720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,538,600

LCM of Fractions 80/28,538/89,600/720 is 322800

2 80, 538, 600
2 40, 269, 300
2 20, 269, 150
5 10, 269, 75
2, 269, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 2 x 269 x 15 = 322800

Least Common Multiple of 80,538,600 with GCF Formula

Least Common Multiple of 80,538,600 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 80,538,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,538,600) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(80,538,600) x common factors =2 x 40 = 80

LCM(80,538,600) = ( 80 × 538 × 600 ) / 80

LCM(80,538,600) = 25824000 / 80

LCM(80,538,600) = 322800


Lets's calculate GCF of 28,89,720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322800/1

Therefore the LCM of Fractions 80/28,538/89,600/720 is 322800

Greatest Common Factor of 28,89,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,89,720 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 89

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

1,89

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 28,89,720 . The biggest common factor number is the GCF number.
So the greatest common factor 28,89,720 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 80/28, 538/89, 600/720

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 80/28, 538/89, 600/720?

Answer: LCM of Numerators as per given numbers 80/28, 538/89, 600/720 is

LCM of Numerators i.e. for 80,538,600 is 322800

GCF of denominators i.e. for 28,89,720 is 1.

Thus, LCM of Fractions is 322800.Finally, LCM of Fractions for 80/28, 538/89, 600/720 is 322800.