Least Common Multiple of 789/480, 8621/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/480, 8621/720 quickly i.e. 6801969/240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/480, 8621/720 is 6801969/240.

LCM(789/480, 8621/720) = 6801969/240

LCM of 789/480, 8621/720

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 789/480,8621/720

Given numbers are 789/480,8621/720

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 789,8621

Least Common Multiple of Numerators i.e. LCM of 789,8621 is 6801969.

GCF of Denominators means GCF of 480,720 as per the given fractions.

GCF of 480,720 is 240 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,8621

LCM of Fractions 789/480,8621/720 is 6801969/240

Given numbers has no common factors except 1. So, there LCM is their product i.e 6801969

Least Common Multiple of 789,8621 with GCF Formula

Least Common Multiple of 789,8621 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 789,8621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,8621) = 1

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

GCF(789,8621) x common factors =1 x 1 = 1

LCM(789,8621) = ( 789 × 8621 ) / 1

LCM(789,8621) = 6801969 / 1

LCM(789,8621) = 6801969


Lets's calculate GCF of 480,720

2 480, 720
2 240, 360
2 120, 180
2 60, 90
3 30, 45
5 10, 15
2, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 = 240

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6801969/240

Therefore the LCM of Fractions 789/480,8621/720 is 6801969/240

Greatest Common Factor of 480,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,720 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

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 480,720 . The biggest common factor number is the GCF number.
So the greatest common factor 480,720 is 240.


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 789/480, 8621/720

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 789/480, 8621/720?

Answer: LCM of Numerators as per given numbers 789/480, 8621/720 is

LCM of Numerators i.e. for 789,8621 is 6801969

GCF of denominators i.e. for 480,720 is 240.

Thus, LCM of Fractions is 6801969/240.Finally, LCM of Fractions for 789/480, 8621/720 is 6801969/240.