Least Common Multiple of 585/84, 819/33, 497/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/84, 819/33, 497/496 quickly i.e. 290745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/84, 819/33, 497/496 is 290745.

LCM(585/84, 819/33, 497/496) = 290745

LCM of 585/84, 819/33, 497/496

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 585/84,819/33,497/496

Given numbers are 585/84,819/33,497/496

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 585,819,497

Least Common Multiple of Numerators i.e. LCM of 585,819,497 is 290745.

GCF of Denominators means GCF of 84,33,496 as per the given fractions.

GCF of 84,33,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,819,497

LCM of Fractions 585/84,819/33,497/496 is 290745

3 585, 819, 497
3 195, 273, 497
7 65, 91, 497
13 65, 13, 71
5, 1, 71

∴ So the LCM of the given numbers is 3 x 3 x 7 x 13 x 5 x 1 x 71 = 290745

Least Common Multiple of 585,819,497 with GCF Formula

Least Common Multiple of 585,819,497 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 585,819,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,819,497) = 1

common factors(in case of two or more numbers have common factors) = 819

GCF(585,819,497) x common factors =1 x 819 = 819

LCM(585,819,497) = ( 585 × 819 × 497 ) / 819

LCM(585,819,497) = 238120155 / 819

LCM(585,819,497) = 290745


Lets's calculate GCF of 84,33,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290745/1

Therefore the LCM of Fractions 585/84,819/33,497/496 is 290745

Greatest Common Factor of 84,33,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,33,496 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 84,33,496 . The biggest common factor number is the GCF number.
So the greatest common factor 84,33,496 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 585/84, 819/33, 497/496

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 585/84, 819/33, 497/496?

Answer: LCM of Numerators as per given numbers 585/84, 819/33, 497/496 is

LCM of Numerators i.e. for 585,819,497 is 290745

GCF of denominators i.e. for 84,33,496 is 1.

Thus, LCM of Fractions is 290745.Finally, LCM of Fractions for 585/84, 819/33, 497/496 is 290745.