Least Common Multiple of 209/27, 726/9376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/27, 726/9376 quickly i.e. 13794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/27, 726/9376 is 13794.

LCM(209/27, 726/9376) = 13794

LCM of 209/27, 726/9376

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 209/27,726/9376

Given numbers are 209/27,726/9376

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 209,726

Least Common Multiple of Numerators i.e. LCM of 209,726 is 13794.

GCF of Denominators means GCF of 27,9376 as per the given fractions.

GCF of 27,9376 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,726

LCM of Fractions 209/27,726/9376 is 13794

11 209, 726
19, 66

∴ So the LCM of the given numbers is 11 x 19 x 66 = 13794

Least Common Multiple of 209,726 with GCF Formula

Least Common Multiple of 209,726 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 209,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,726) = 11

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

GCF(209,726) x common factors =11 x 1 = 11

LCM(209,726) = ( 209 × 726 ) / 11

LCM(209,726) = 151734 / 11

LCM(209,726) = 13794


Lets's calculate GCF of 27,9376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13794/1

Therefore the LCM of Fractions 209/27,726/9376 is 13794

Greatest Common Factor of 27,9376 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,9376 By Matching Biggest Common Factor Method

Factors of 27

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

1,3,9,27

Factors of 9376

List of positive integer factors of 9376 that divides 9376 without a remainder.

1,2,4,8,16,32,293,586,1172,2344,4688,9376

Greatest Common Factor

We found the factors 27,9376 . The biggest common factor number is the GCF number.
So the greatest common factor 27,9376 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 209/27, 726/9376

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 209/27, 726/9376?

Answer: LCM of Numerators as per given numbers 209/27, 726/9376 is

LCM of Numerators i.e. for 209,726 is 13794

GCF of denominators i.e. for 27,9376 is 1.

Thus, LCM of Fractions is 13794.Finally, LCM of Fractions for 209/27, 726/9376 is 13794.