Least Common Multiple of 27/81, 788/26, 463/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/81, 788/26, 463/784 quickly i.e. 9850788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/81, 788/26, 463/784 is 9850788.

LCM(27/81, 788/26, 463/784) = 9850788

LCM of 27/81, 788/26, 463/784

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 27/81,788/26,463/784

Given numbers are 27/81,788/26,463/784

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 27,788,463

Least Common Multiple of Numerators i.e. LCM of 27,788,463 is 9850788.

GCF of Denominators means GCF of 81,26,784 as per the given fractions.

GCF of 81,26,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,788,463

LCM of Fractions 27/81,788/26,463/784 is 9850788

Given numbers has no common factors except 1. So, there LCM is their product i.e 9850788

Least Common Multiple of 27,788,463 with GCF Formula

Least Common Multiple of 27,788,463 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 27,788,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,788,463) = 1

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

GCF(27,788,463) x common factors =1 x 1 = 1

LCM(27,788,463) = ( 27 × 788 × 463 ) / 1

LCM(27,788,463) = 9850788 / 1

LCM(27,788,463) = 9850788


Lets's calculate GCF of 81,26,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9850788/1

Therefore the LCM of Fractions 27/81,788/26,463/784 is 9850788

Greatest Common Factor of 81,26,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,26,784 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 81,26,784 . The biggest common factor number is the GCF number.
So the greatest common factor 81,26,784 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 27/81, 788/26, 463/784

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 27/81, 788/26, 463/784?

Answer: LCM of Numerators as per given numbers 27/81, 788/26, 463/784 is

LCM of Numerators i.e. for 27,788,463 is 9850788

GCF of denominators i.e. for 81,26,784 is 1.

Thus, LCM of Fractions is 9850788.Finally, LCM of Fractions for 27/81, 788/26, 463/784 is 9850788.