Least Common Multiple of 57/569, 71/585, 183/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/569, 71/585, 183/333 quickly i.e. 246867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/569, 71/585, 183/333 is 246867.

LCM(57/569, 71/585, 183/333) = 246867

LCM of 57/569, 71/585, 183/333

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 57/569,71/585,183/333

Given numbers are 57/569,71/585,183/333

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 57,71,183

Least Common Multiple of Numerators i.e. LCM of 57,71,183 is 246867.

GCF of Denominators means GCF of 569,585,333 as per the given fractions.

GCF of 569,585,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,71,183

LCM of Fractions 57/569,71/585,183/333 is 246867

3 57, 71, 183
19, 71, 61

∴ So the LCM of the given numbers is 3 x 19 x 71 x 61 = 246867

Least Common Multiple of 57,71,183 with GCF Formula

Least Common Multiple of 57,71,183 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 57,71,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,71,183) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,71,183) x common factors =1 x 3 = 3

LCM(57,71,183) = ( 57 × 71 × 183 ) / 3

LCM(57,71,183) = 740601 / 3

LCM(57,71,183) = 246867


Lets's calculate GCF of 569,585,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246867/1

Therefore the LCM of Fractions 57/569,71/585,183/333 is 246867

Greatest Common Factor of 569,585,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,585,333 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

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 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 569,585,333 . The biggest common factor number is the GCF number.
So the greatest common factor 569,585,333 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 57/569, 71/585, 183/333

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 57/569, 71/585, 183/333?

Answer: LCM of Numerators as per given numbers 57/569, 71/585, 183/333 is

LCM of Numerators i.e. for 57,71,183 is 246867

GCF of denominators i.e. for 569,585,333 is 1.

Thus, LCM of Fractions is 246867.Finally, LCM of Fractions for 57/569, 71/585, 183/333 is 246867.