Least Common Multiple of 509/272, 583/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/272, 583/285 quickly i.e. 296747 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/272, 583/285 is 296747.

LCM(509/272, 583/285) = 296747

LCM of 509/272, 583/285

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 509/272,583/285

Given numbers are 509/272,583/285

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 509,583

Least Common Multiple of Numerators i.e. LCM of 509,583 is 296747.

GCF of Denominators means GCF of 272,285 as per the given fractions.

GCF of 272,285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,583

LCM of Fractions 509/272,583/285 is 296747

Given numbers has no common factors except 1. So, there LCM is their product i.e 296747

Least Common Multiple of 509,583 with GCF Formula

Least Common Multiple of 509,583 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 509,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,583) = 1

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

GCF(509,583) x common factors =1 x 1 = 1

LCM(509,583) = ( 509 × 583 ) / 1

LCM(509,583) = 296747 / 1

LCM(509,583) = 296747


Lets's calculate GCF of 272,285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296747/1

Therefore the LCM of Fractions 509/272,583/285 is 296747

Greatest Common Factor of 272,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,285 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 272,285 . The biggest common factor number is the GCF number.
So the greatest common factor 272,285 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 509/272, 583/285

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 509/272, 583/285?

Answer: LCM of Numerators as per given numbers 509/272, 583/285 is

LCM of Numerators i.e. for 509,583 is 296747

GCF of denominators i.e. for 272,285 is 1.

Thus, LCM of Fractions is 296747.Finally, LCM of Fractions for 509/272, 583/285 is 296747.