Least Common Multiple of 8254/186, 6741/7293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8254/186, 6741/7293 quickly i.e. 18546738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8254/186, 6741/7293 is 18546738.

LCM(8254/186, 6741/7293) = 18546738

LCM of 8254/186, 6741/7293

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 8254/186,6741/7293

Given numbers are 8254/186,6741/7293

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 8254,6741

Least Common Multiple of Numerators i.e. LCM of 8254,6741 is 55640214.

GCF of Denominators means GCF of 186,7293 as per the given fractions.

GCF of 186,7293 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8254,6741

LCM of Fractions 8254/186,6741/7293 is 18546738

Given numbers has no common factors except 1. So, there LCM is their product i.e 55640214

Least Common Multiple of 8254,6741 with GCF Formula

Least Common Multiple of 8254,6741 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 8254,6741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8254,6741) = 1

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

GCF(8254,6741) x common factors =1 x 1 = 1

LCM(8254,6741) = ( 8254 × 6741 ) / 1

LCM(8254,6741) = 55640214 / 1

LCM(8254,6741) = 55640214


Lets's calculate GCF of 186,7293

3 186, 7293
62, 2431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55640214/3

Therefore the LCM of Fractions 8254/186,6741/7293 is 18546738

Greatest Common Factor of 186,7293 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,7293 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 7293

List of positive integer factors of 7293 that divides 7293 without a remainder.

1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293

Greatest Common Factor

We found the factors 186,7293 . The biggest common factor number is the GCF number.
So the greatest common factor 186,7293 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 8254/186, 6741/7293

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 8254/186, 6741/7293?

Answer: LCM of Numerators as per given numbers 8254/186, 6741/7293 is

LCM of Numerators i.e. for 8254,6741 is 55640214

GCF of denominators i.e. for 186,7293 is 3.

Thus, LCM of Fractions is 18546738.Finally, LCM of Fractions for 8254/186, 6741/7293 is 18546738.