Least Common Multiple of 27/627, 8526/8109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/627, 8526/8109 quickly i.e. 25578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/627, 8526/8109 is 25578.

LCM(27/627, 8526/8109) = 25578

LCM of 27/627, 8526/8109

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 27/627,8526/8109

Given numbers are 27/627,8526/8109

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 27,8526

Least Common Multiple of Numerators i.e. LCM of 27,8526 is 76734.

GCF of Denominators means GCF of 627,8109 as per the given fractions.

GCF of 627,8109 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,8526

LCM of Fractions 27/627,8526/8109 is 25578

3 27, 8526
9, 2842

∴ So the LCM of the given numbers is 3 x 9 x 2842 = 76734

Least Common Multiple of 27,8526 with GCF Formula

Least Common Multiple of 27,8526 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 27,8526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,8526) = 3

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

GCF(27,8526) x common factors =3 x 1 = 3

LCM(27,8526) = ( 27 × 8526 ) / 3

LCM(27,8526) = 230202 / 3

LCM(27,8526) = 76734


Lets's calculate GCF of 627,8109

3 627, 8109
209, 2703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76734/3

Therefore the LCM of Fractions 27/627,8526/8109 is 25578

Greatest Common Factor of 627,8109 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,8109 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 8109

List of positive integer factors of 8109 that divides 8109 without a remainder.

1,3,9,17,51,53,153,159,477,901,2703,8109

Greatest Common Factor

We found the factors 627,8109 . The biggest common factor number is the GCF number.
So the greatest common factor 627,8109 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 27/627, 8526/8109

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 27/627, 8526/8109?

Answer: LCM of Numerators as per given numbers 27/627, 8526/8109 is

LCM of Numerators i.e. for 27,8526 is 76734

GCF of denominators i.e. for 627,8109 is 3.

Thus, LCM of Fractions is 25578.Finally, LCM of Fractions for 27/627, 8526/8109 is 25578.