Least Common Multiple of 660/48, 324/96, 605/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/48, 324/96, 605/720 quickly i.e. 196020/48 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/48, 324/96, 605/720 is 196020/48.

LCM(660/48, 324/96, 605/720) = 196020/48

LCM of 660/48, 324/96, 605/720

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 660/48,324/96,605/720

Given numbers are 660/48,324/96,605/720

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 660,324,605

Least Common Multiple of Numerators i.e. LCM of 660,324,605 is 196020.

GCF of Denominators means GCF of 48,96,720 as per the given fractions.

GCF of 48,96,720 is 48 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,324,605

LCM of Fractions 660/48,324/96,605/720 is 196020/48

2 660, 324, 605
2 330, 162, 605
3 165, 81, 605
5 55, 27, 605
11 11, 27, 121
1, 27, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 1 x 27 x 11 = 196020

Least Common Multiple of 660,324,605 with GCF Formula

Least Common Multiple of 660,324,605 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 660,324,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,324,605) = 1

common factors(in case of two or more numbers have common factors) = 660

GCF(660,324,605) x common factors =1 x 660 = 660

LCM(660,324,605) = ( 660 × 324 × 605 ) / 660

LCM(660,324,605) = 129373200 / 660

LCM(660,324,605) = 196020


Lets's calculate GCF of 48,96,720

2 48, 96, 720
2 24, 48, 360
2 12, 24, 180
2 6, 12, 90
3 3, 6, 45
1, 2, 15

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196020/48

Therefore the LCM of Fractions 660/48,324/96,605/720 is 196020/48

Greatest Common Factor of 48,96,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,96,720 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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 48,96,720 . The biggest common factor number is the GCF number.
So the greatest common factor 48,96,720 is 48.


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 660/48, 324/96, 605/720

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 660/48, 324/96, 605/720?

Answer: LCM of Numerators as per given numbers 660/48, 324/96, 605/720 is

LCM of Numerators i.e. for 660,324,605 is 196020

GCF of denominators i.e. for 48,96,720 is 48.

Thus, LCM of Fractions is 196020/48.Finally, LCM of Fractions for 660/48, 324/96, 605/720 is 196020/48.