Least Common Multiple of 80/664, 667/238, 540/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/664, 667/238, 540/480 quickly i.e. 720360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/664, 667/238, 540/480 is 720360.

LCM(80/664, 667/238, 540/480) = 720360

LCM of 80/664, 667/238, 540/480

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 80/664,667/238,540/480

Given numbers are 80/664,667/238,540/480

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 80,667,540

Least Common Multiple of Numerators i.e. LCM of 80,667,540 is 1440720.

GCF of Denominators means GCF of 664,238,480 as per the given fractions.

GCF of 664,238,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,667,540

LCM of Fractions 80/664,667/238,540/480 is 720360

2 80, 667, 540
2 40, 667, 270
5 20, 667, 135
4, 667, 27

∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 667 x 27 = 1440720

Least Common Multiple of 80,667,540 with GCF Formula

Least Common Multiple of 80,667,540 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 80,667,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,667,540) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(80,667,540) x common factors =1 x 20 = 20

LCM(80,667,540) = ( 80 × 667 × 540 ) / 20

LCM(80,667,540) = 28814400 / 20

LCM(80,667,540) = 1440720


Lets's calculate GCF of 664,238,480

2 664, 238, 480
332, 119, 240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1440720/2

Therefore the LCM of Fractions 80/664,667/238,540/480 is 720360

Greatest Common Factor of 664,238,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,238,480 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

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

Greatest Common Factor

We found the factors 664,238,480 . The biggest common factor number is the GCF number.
So the greatest common factor 664,238,480 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 80/664, 667/238, 540/480

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 80/664, 667/238, 540/480?

Answer: LCM of Numerators as per given numbers 80/664, 667/238, 540/480 is

LCM of Numerators i.e. for 80,667,540 is 1440720

GCF of denominators i.e. for 664,238,480 is 2.

Thus, LCM of Fractions is 720360.Finally, LCM of Fractions for 80/664, 667/238, 540/480 is 720360.