Least Common Multiple of 660/510, 355/608, 323/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/510, 355/608, 323/720 quickly i.e. 7567890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/510, 355/608, 323/720 is 7567890.

LCM(660/510, 355/608, 323/720) = 7567890

LCM of 660/510, 355/608, 323/720

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 660/510,355/608,323/720

Given numbers are 660/510,355/608,323/720

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 660,355,323

Least Common Multiple of Numerators i.e. LCM of 660,355,323 is 15135780.

GCF of Denominators means GCF of 510,608,720 as per the given fractions.

GCF of 510,608,720 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,355,323

LCM of Fractions 660/510,355/608,323/720 is 7567890

5 660, 355, 323
132, 71, 323

∴ So the LCM of the given numbers is 5 x 132 x 71 x 323 = 15135780

Least Common Multiple of 660,355,323 with GCF Formula

Least Common Multiple of 660,355,323 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 660,355,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,355,323) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(660,355,323) x common factors =1 x 5 = 5

LCM(660,355,323) = ( 660 × 355 × 323 ) / 5

LCM(660,355,323) = 75678900 / 5

LCM(660,355,323) = 15135780


Lets's calculate GCF of 510,608,720

2 510, 608, 720
255, 304, 360

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15135780/2

Therefore the LCM of Fractions 660/510,355/608,323/720 is 7567890

Greatest Common Factor of 510,608,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,608,720 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

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 510,608,720 . The biggest common factor number is the GCF number.
So the greatest common factor 510,608,720 is 2.


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 660/510, 355/608, 323/720

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 660/510, 355/608, 323/720?

Answer: LCM of Numerators as per given numbers 660/510, 355/608, 323/720 is

LCM of Numerators i.e. for 660,355,323 is 15135780

GCF of denominators i.e. for 510,608,720 is 2.

Thus, LCM of Fractions is 7567890.Finally, LCM of Fractions for 660/510, 355/608, 323/720 is 7567890.