Least Common Multiple of 23/580, 82/446, 521/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/580, 82/446, 521/487 quickly i.e. 982606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/580, 82/446, 521/487 is 982606.

LCM(23/580, 82/446, 521/487) = 982606

LCM of 23/580, 82/446, 521/487

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 23/580,82/446,521/487

Given numbers are 23/580,82/446,521/487

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 23,82,521

Least Common Multiple of Numerators i.e. LCM of 23,82,521 is 982606.

GCF of Denominators means GCF of 580,446,487 as per the given fractions.

GCF of 580,446,487 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,82,521

LCM of Fractions 23/580,82/446,521/487 is 982606

Given numbers has no common factors except 1. So, there LCM is their product i.e 982606

Least Common Multiple of 23,82,521 with GCF Formula

Least Common Multiple of 23,82,521 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 23,82,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,82,521) = 1

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

GCF(23,82,521) x common factors =1 x 1 = 1

LCM(23,82,521) = ( 23 × 82 × 521 ) / 1

LCM(23,82,521) = 982606 / 1

LCM(23,82,521) = 982606


Lets's calculate GCF of 580,446,487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 982606/1

Therefore the LCM of Fractions 23/580,82/446,521/487 is 982606

Greatest Common Factor of 580,446,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,446,487 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 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 580,446,487 . The biggest common factor number is the GCF number.
So the greatest common factor 580,446,487 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 23/580, 82/446, 521/487

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 23/580, 82/446, 521/487?

Answer: LCM of Numerators as per given numbers 23/580, 82/446, 521/487 is

LCM of Numerators i.e. for 23,82,521 is 982606

GCF of denominators i.e. for 580,446,487 is 1.

Thus, LCM of Fractions is 982606.Finally, LCM of Fractions for 23/580, 82/446, 521/487 is 982606.