Least Common Multiple of 27/678, 4503/6186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/678, 4503/6186 quickly i.e. 40527/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/678, 4503/6186 is 40527/6.

LCM(27/678, 4503/6186) = 40527/6

LCM of 27/678, 4503/6186

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 27/678,4503/6186

Given numbers are 27/678,4503/6186

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 27,4503

Least Common Multiple of Numerators i.e. LCM of 27,4503 is 40527.

GCF of Denominators means GCF of 678,6186 as per the given fractions.

GCF of 678,6186 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,4503

LCM of Fractions 27/678,4503/6186 is 40527/6

3 27, 4503
9, 1501

∴ So the LCM of the given numbers is 3 x 9 x 1501 = 40527

Least Common Multiple of 27,4503 with GCF Formula

Least Common Multiple of 27,4503 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 27,4503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,4503) = 3

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

GCF(27,4503) x common factors =3 x 1 = 3

LCM(27,4503) = ( 27 × 4503 ) / 3

LCM(27,4503) = 121581 / 3

LCM(27,4503) = 40527


Lets's calculate GCF of 678,6186

2 678, 6186
3 339, 3093
113, 1031

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40527/6

Therefore the LCM of Fractions 27/678,4503/6186 is 40527/6

Greatest Common Factor of 678,6186 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,6186 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 6186

List of positive integer factors of 6186 that divides 6186 without a remainder.

1,2,3,6,1031,2062,3093,6186

Greatest Common Factor

We found the factors 678,6186 . The biggest common factor number is the GCF number.
So the greatest common factor 678,6186 is 6.


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 27/678, 4503/6186

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 27/678, 4503/6186?

Answer: LCM of Numerators as per given numbers 27/678, 4503/6186 is

LCM of Numerators i.e. for 27,4503 is 40527

GCF of denominators i.e. for 678,6186 is 6.

Thus, LCM of Fractions is 40527/6.Finally, LCM of Fractions for 27/678, 4503/6186 is 40527/6.