Least Common Multiple of 82/819, 24/573, 199/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/819, 24/573, 199/522 quickly i.e. 65272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/819, 24/573, 199/522 is 65272.

LCM(82/819, 24/573, 199/522) = 65272

LCM of 82/819, 24/573, 199/522

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 82/819,24/573,199/522

Given numbers are 82/819,24/573,199/522

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 82,24,199

Least Common Multiple of Numerators i.e. LCM of 82,24,199 is 195816.

GCF of Denominators means GCF of 819,573,522 as per the given fractions.

GCF of 819,573,522 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,24,199

LCM of Fractions 82/819,24/573,199/522 is 65272

2 82, 24, 199
41, 12, 199

∴ So the LCM of the given numbers is 2 x 41 x 12 x 199 = 195816

Least Common Multiple of 82,24,199 with GCF Formula

Least Common Multiple of 82,24,199 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 82,24,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,24,199) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,24,199) x common factors =1 x 2 = 2

LCM(82,24,199) = ( 82 × 24 × 199 ) / 2

LCM(82,24,199) = 391632 / 2

LCM(82,24,199) = 195816


Lets's calculate GCF of 819,573,522

3 819, 573, 522
273, 191, 174

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195816/3

Therefore the LCM of Fractions 82/819,24/573,199/522 is 65272

Greatest Common Factor of 819,573,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,573,522 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 819,573,522 . The biggest common factor number is the GCF number.
So the greatest common factor 819,573,522 is 3.


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 82/819, 24/573, 199/522

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 82/819, 24/573, 199/522?

Answer: LCM of Numerators as per given numbers 82/819, 24/573, 199/522 is

LCM of Numerators i.e. for 82,24,199 is 195816

GCF of denominators i.e. for 819,573,522 is 3.

Thus, LCM of Fractions is 65272.Finally, LCM of Fractions for 82/819, 24/573, 199/522 is 65272.