Least Common Multiple of 80/66, 390/53, 720/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/66, 390/53, 720/318 quickly i.e. 9360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/66, 390/53, 720/318 is 9360.

LCM(80/66, 390/53, 720/318) = 9360

LCM of 80/66, 390/53, 720/318

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 80/66,390/53,720/318

Given numbers are 80/66,390/53,720/318

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 80,390,720

Least Common Multiple of Numerators i.e. LCM of 80,390,720 is 9360.

GCF of Denominators means GCF of 66,53,318 as per the given fractions.

GCF of 66,53,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,390,720

LCM of Fractions 80/66,390/53,720/318 is 9360

2 80, 390, 720
2 40, 195, 360
2 20, 195, 180
2 10, 195, 90
3 5, 195, 45
5 5, 65, 15
1, 13, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 13 x 3 = 9360

Least Common Multiple of 80,390,720 with GCF Formula

Least Common Multiple of 80,390,720 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 80,390,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,390,720) = 10

common factors(in case of two or more numbers have common factors) = 240

GCF(80,390,720) x common factors =10 x 240 = 2400

LCM(80,390,720) = ( 80 × 390 × 720 ) / 2400

LCM(80,390,720) = 22464000 / 2400

LCM(80,390,720) = 9360


Lets's calculate GCF of 66,53,318

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9360/1

Therefore the LCM of Fractions 80/66,390/53,720/318 is 9360

Greatest Common Factor of 66,53,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,53,318 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 66,53,318 . The biggest common factor number is the GCF number.
So the greatest common factor 66,53,318 is 1.


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 80/66, 390/53, 720/318

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 80/66, 390/53, 720/318?

Answer: LCM of Numerators as per given numbers 80/66, 390/53, 720/318 is

LCM of Numerators i.e. for 80,390,720 is 9360

GCF of denominators i.e. for 66,53,318 is 1.

Thus, LCM of Fractions is 9360.Finally, LCM of Fractions for 80/66, 390/53, 720/318 is 9360.