Least Common Multiple of 8527/80, 4809/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8527/80, 4809/720 quickly i.e. 41006343/80 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8527/80, 4809/720 is 41006343/80.

LCM(8527/80, 4809/720) = 41006343/80

LCM of 8527/80, 4809/720

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 8527/80,4809/720

Given numbers are 8527/80,4809/720

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 8527,4809

Least Common Multiple of Numerators i.e. LCM of 8527,4809 is 41006343.

GCF of Denominators means GCF of 80,720 as per the given fractions.

GCF of 80,720 is 80 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8527,4809

LCM of Fractions 8527/80,4809/720 is 41006343/80

Given numbers has no common factors except 1. So, there LCM is their product i.e 41006343

Least Common Multiple of 8527,4809 with GCF Formula

Least Common Multiple of 8527,4809 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 8527,4809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8527,4809) = 1

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

GCF(8527,4809) x common factors =1 x 1 = 1

LCM(8527,4809) = ( 8527 × 4809 ) / 1

LCM(8527,4809) = 41006343 / 1

LCM(8527,4809) = 41006343


Lets's calculate GCF of 80,720

2 80, 720
2 40, 360
2 20, 180
2 10, 90
5 5, 45
1, 9

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41006343/80

Therefore the LCM of Fractions 8527/80,4809/720 is 41006343/80

Greatest Common Factor of 80,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,720 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

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 80,720 . The biggest common factor number is the GCF number.
So the greatest common factor 80,720 is 80.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8527/80, 4809/720

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 8527/80, 4809/720?

Answer: LCM of Numerators as per given numbers 8527/80, 4809/720 is

LCM of Numerators i.e. for 8527,4809 is 41006343

GCF of denominators i.e. for 80,720 is 80.

Thus, LCM of Fractions is 41006343/80.Finally, LCM of Fractions for 8527/80, 4809/720 is 41006343/80.