Least Common Multiple of 80/586, 483/585, 675/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/586, 483/585, 675/205 quickly i.e. 1738800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/586, 483/585, 675/205 is 1738800.

LCM(80/586, 483/585, 675/205) = 1738800

LCM of 80/586, 483/585, 675/205

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 80/586,483/585,675/205

Given numbers are 80/586,483/585,675/205

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 80,483,675

Least Common Multiple of Numerators i.e. LCM of 80,483,675 is 1738800.

GCF of Denominators means GCF of 586,585,205 as per the given fractions.

GCF of 586,585,205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,483,675

LCM of Fractions 80/586,483/585,675/205 is 1738800

3 80, 483, 675
5 80, 161, 225
16, 161, 45

∴ So the LCM of the given numbers is 3 x 5 x 16 x 161 x 45 = 1738800

Least Common Multiple of 80,483,675 with GCF Formula

Least Common Multiple of 80,483,675 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 80,483,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,483,675) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(80,483,675) x common factors =1 x 15 = 15

LCM(80,483,675) = ( 80 × 483 × 675 ) / 15

LCM(80,483,675) = 26082000 / 15

LCM(80,483,675) = 1738800


Lets's calculate GCF of 586,585,205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1738800/1

Therefore the LCM of Fractions 80/586,483/585,675/205 is 1738800

Greatest Common Factor of 586,585,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,585,205 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 586,585,205 . The biggest common factor number is the GCF number.
So the greatest common factor 586,585,205 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 80/586, 483/585, 675/205

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 80/586, 483/585, 675/205?

Answer: LCM of Numerators as per given numbers 80/586, 483/585, 675/205 is

LCM of Numerators i.e. for 80,483,675 is 1738800

GCF of denominators i.e. for 586,585,205 is 1.

Thus, LCM of Fractions is 1738800.Finally, LCM of Fractions for 80/586, 483/585, 675/205 is 1738800.