Least Common Multiple of 209/81, 329/27, 418/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/81, 329/27, 418/834 quickly i.e. 137522/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/81, 329/27, 418/834 is 137522/3.

LCM(209/81, 329/27, 418/834) = 137522/3

LCM of 209/81, 329/27, 418/834

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 209/81,329/27,418/834

Given numbers are 209/81,329/27,418/834

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 209,329,418

Least Common Multiple of Numerators i.e. LCM of 209,329,418 is 137522.

GCF of Denominators means GCF of 81,27,834 as per the given fractions.

GCF of 81,27,834 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,329,418

LCM of Fractions 209/81,329/27,418/834 is 137522/3

11 209, 329, 418
19 19, 329, 38
1, 329, 2

∴ So the LCM of the given numbers is 11 x 19 x 1 x 329 x 2 = 137522

Least Common Multiple of 209,329,418 with GCF Formula

Least Common Multiple of 209,329,418 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 209,329,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,329,418) = 1

common factors(in case of two or more numbers have common factors) = 209

GCF(209,329,418) x common factors =1 x 209 = 209

LCM(209,329,418) = ( 209 × 329 × 418 ) / 209

LCM(209,329,418) = 28742098 / 209

LCM(209,329,418) = 137522


Lets's calculate GCF of 81,27,834

3 81, 27, 834
27, 9, 278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137522/3

Therefore the LCM of Fractions 209/81,329/27,418/834 is 137522/3

Greatest Common Factor of 81,27,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,27,834 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 81,27,834 . The biggest common factor number is the GCF number.
So the greatest common factor 81,27,834 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 209/81, 329/27, 418/834

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 209/81, 329/27, 418/834?

Answer: LCM of Numerators as per given numbers 209/81, 329/27, 418/834 is

LCM of Numerators i.e. for 209,329,418 is 137522

GCF of denominators i.e. for 81,27,834 is 3.

Thus, LCM of Fractions is 137522/3.Finally, LCM of Fractions for 209/81, 329/27, 418/834 is 137522/3.