Least Common Multiple of 819/259, 596/111, 533/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/259, 596/111, 533/730 quickly i.e. 20013084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/259, 596/111, 533/730 is 20013084.

LCM(819/259, 596/111, 533/730) = 20013084

LCM of 819/259, 596/111, 533/730

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 819/259,596/111,533/730

Given numbers are 819/259,596/111,533/730

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 819,596,533

Least Common Multiple of Numerators i.e. LCM of 819,596,533 is 20013084.

GCF of Denominators means GCF of 259,111,730 as per the given fractions.

GCF of 259,111,730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,596,533

LCM of Fractions 819/259,596/111,533/730 is 20013084

13 819, 596, 533
63, 596, 41

∴ So the LCM of the given numbers is 13 x 63 x 596 x 41 = 20013084

Least Common Multiple of 819,596,533 with GCF Formula

Least Common Multiple of 819,596,533 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 819,596,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,596,533) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(819,596,533) x common factors =1 x 13 = 13

LCM(819,596,533) = ( 819 × 596 × 533 ) / 13

LCM(819,596,533) = 260170092 / 13

LCM(819,596,533) = 20013084


Lets's calculate GCF of 259,111,730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20013084/1

Therefore the LCM of Fractions 819/259,596/111,533/730 is 20013084

Greatest Common Factor of 259,111,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,111,730 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 259,111,730 . The biggest common factor number is the GCF number.
So the greatest common factor 259,111,730 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 819/259, 596/111, 533/730

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 819/259, 596/111, 533/730?

Answer: LCM of Numerators as per given numbers 819/259, 596/111, 533/730 is

LCM of Numerators i.e. for 819,596,533 is 20013084

GCF of denominators i.e. for 259,111,730 is 1.

Thus, LCM of Fractions is 20013084.Finally, LCM of Fractions for 819/259, 596/111, 533/730 is 20013084.