Least Common Multiple of 39/482, 20/719, 317/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/482, 20/719, 317/582 quickly i.e. 247260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/482, 20/719, 317/582 is 247260.

LCM(39/482, 20/719, 317/582) = 247260

LCM of 39/482, 20/719, 317/582

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 39/482,20/719,317/582

Given numbers are 39/482,20/719,317/582

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 39,20,317

Least Common Multiple of Numerators i.e. LCM of 39,20,317 is 247260.

GCF of Denominators means GCF of 482,719,582 as per the given fractions.

GCF of 482,719,582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,20,317

LCM of Fractions 39/482,20/719,317/582 is 247260

Given numbers has no common factors except 1. So, there LCM is their product i.e 247260

Least Common Multiple of 39,20,317 with GCF Formula

Least Common Multiple of 39,20,317 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 39,20,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,20,317) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(39,20,317) x common factors =1 x 1 = 1

LCM(39,20,317) = ( 39 × 20 × 317 ) / 1

LCM(39,20,317) = 247260 / 1

LCM(39,20,317) = 247260


Lets's calculate GCF of 482,719,582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247260/1

Therefore the LCM of Fractions 39/482,20/719,317/582 is 247260

Greatest Common Factor of 482,719,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,719,582 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 482,719,582 . The biggest common factor number is the GCF number.
So the greatest common factor 482,719,582 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 39/482, 20/719, 317/582

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 39/482, 20/719, 317/582?

Answer: LCM of Numerators as per given numbers 39/482, 20/719, 317/582 is

LCM of Numerators i.e. for 39,20,317 is 247260

GCF of denominators i.e. for 482,719,582 is 1.

Thus, LCM of Fractions is 247260.Finally, LCM of Fractions for 39/482, 20/719, 317/582 is 247260.