Least Common Multiple of 27/828, 5682/9866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/828, 5682/9866 quickly i.e. 25569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/828, 5682/9866 is 25569.

LCM(27/828, 5682/9866) = 25569

LCM of 27/828, 5682/9866

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 27/828,5682/9866

Given numbers are 27/828,5682/9866

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 27,5682

Least Common Multiple of Numerators i.e. LCM of 27,5682 is 51138.

GCF of Denominators means GCF of 828,9866 as per the given fractions.

GCF of 828,9866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,5682

LCM of Fractions 27/828,5682/9866 is 25569

3 27, 5682
9, 1894

∴ So the LCM of the given numbers is 3 x 9 x 1894 = 51138

Least Common Multiple of 27,5682 with GCF Formula

Least Common Multiple of 27,5682 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 27,5682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,5682) = 3

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

GCF(27,5682) x common factors =3 x 1 = 3

LCM(27,5682) = ( 27 × 5682 ) / 3

LCM(27,5682) = 153414 / 3

LCM(27,5682) = 51138


Lets's calculate GCF of 828,9866

2 828, 9866
414, 4933

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51138/2

Therefore the LCM of Fractions 27/828,5682/9866 is 25569

Greatest Common Factor of 828,9866 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,9866 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 9866

List of positive integer factors of 9866 that divides 9866 without a remainder.

1,2,4933,9866

Greatest Common Factor

We found the factors 828,9866 . The biggest common factor number is the GCF number.
So the greatest common factor 828,9866 is 2.


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 27/828, 5682/9866

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 27/828, 5682/9866?

Answer: LCM of Numerators as per given numbers 27/828, 5682/9866 is

LCM of Numerators i.e. for 27,5682 is 51138

GCF of denominators i.e. for 828,9866 is 2.

Thus, LCM of Fractions is 25569.Finally, LCM of Fractions for 27/828, 5682/9866 is 25569.