Least Common Multiple of 8659/10, 1080/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8659/10, 1080/720 quickly i.e. 935172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8659/10, 1080/720 is 935172.

LCM(8659/10, 1080/720) = 935172

LCM of 8659/10, 1080/720

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 8659/10,1080/720

Given numbers are 8659/10,1080/720

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 8659,1080

Least Common Multiple of Numerators i.e. LCM of 8659,1080 is 9351720.

GCF of Denominators means GCF of 10,720 as per the given fractions.

GCF of 10,720 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8659,1080

LCM of Fractions 8659/10,1080/720 is 935172

Given numbers has no common factors except 1. So, there LCM is their product i.e 9351720

Least Common Multiple of 8659,1080 with GCF Formula

Least Common Multiple of 8659,1080 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 8659,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8659,1080) = 1

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

GCF(8659,1080) x common factors =1 x 1 = 1

LCM(8659,1080) = ( 8659 × 1080 ) / 1

LCM(8659,1080) = 9351720 / 1

LCM(8659,1080) = 9351720


Lets's calculate GCF of 10,720

2 10, 720
5 5, 360
1, 72

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9351720/10

Therefore the LCM of Fractions 8659/10,1080/720 is 935172

Greatest Common Factor of 10,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,720 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

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 10,720 . The biggest common factor number is the GCF number.
So the greatest common factor 10,720 is 10.


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 8659/10, 1080/720

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 8659/10, 1080/720?

Answer: LCM of Numerators as per given numbers 8659/10, 1080/720 is

LCM of Numerators i.e. for 8659,1080 is 9351720

GCF of denominators i.e. for 10,720 is 10.

Thus, LCM of Fractions is 935172.Finally, LCM of Fractions for 8659/10, 1080/720 is 935172.