Least Common Multiple of 717/580, 240/508, 212/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/580, 240/508, 212/317 quickly i.e. 3040080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/580, 240/508, 212/317 is 3040080.

LCM(717/580, 240/508, 212/317) = 3040080

LCM of 717/580, 240/508, 212/317

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 717/580,240/508,212/317

Given numbers are 717/580,240/508,212/317

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 717,240,212

Least Common Multiple of Numerators i.e. LCM of 717,240,212 is 3040080.

GCF of Denominators means GCF of 580,508,317 as per the given fractions.

GCF of 580,508,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,240,212

LCM of Fractions 717/580,240/508,212/317 is 3040080

2 717, 240, 212
2 717, 120, 106
3 717, 60, 53
239, 20, 53

∴ So the LCM of the given numbers is 2 x 2 x 3 x 239 x 20 x 53 = 3040080

Least Common Multiple of 717,240,212 with GCF Formula

Least Common Multiple of 717,240,212 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 717,240,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,240,212) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(717,240,212) x common factors =1 x 12 = 12

LCM(717,240,212) = ( 717 × 240 × 212 ) / 12

LCM(717,240,212) = 36480960 / 12

LCM(717,240,212) = 3040080


Lets's calculate GCF of 580,508,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3040080/1

Therefore the LCM of Fractions 717/580,240/508,212/317 is 3040080

Greatest Common Factor of 580,508,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,508,317 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 580,508,317 . The biggest common factor number is the GCF number.
So the greatest common factor 580,508,317 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 717/580, 240/508, 212/317

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 717/580, 240/508, 212/317?

Answer: LCM of Numerators as per given numbers 717/580, 240/508, 212/317 is

LCM of Numerators i.e. for 717,240,212 is 3040080

GCF of denominators i.e. for 580,508,317 is 1.

Thus, LCM of Fractions is 3040080.Finally, LCM of Fractions for 717/580, 240/508, 212/317 is 3040080.