Least Common Multiple of 623/27, 441/8091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 623/27, 441/8091 quickly i.e. 4361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 623/27, 441/8091 is 4361.

LCM(623/27, 441/8091) = 4361

LCM of 623/27, 441/8091

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 623/27,441/8091

Given numbers are 623/27,441/8091

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 623,441

Least Common Multiple of Numerators i.e. LCM of 623,441 is 39249.

GCF of Denominators means GCF of 27,8091 as per the given fractions.

GCF of 27,8091 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 623,441

LCM of Fractions 623/27,441/8091 is 4361

7 623, 441
89, 63

∴ So the LCM of the given numbers is 7 x 89 x 63 = 39249

Least Common Multiple of 623,441 with GCF Formula

Least Common Multiple of 623,441 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 623,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,441) = 7

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

GCF(623,441) x common factors =7 x 1 = 7

LCM(623,441) = ( 623 × 441 ) / 7

LCM(623,441) = 274743 / 7

LCM(623,441) = 39249


Lets's calculate GCF of 27,8091

3 27, 8091
3 9, 2697
3, 899

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39249/9

Therefore the LCM of Fractions 623/27,441/8091 is 4361

Greatest Common Factor of 27,8091 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,8091 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 8091

List of positive integer factors of 8091 that divides 8091 without a remainder.

1,3,9,29,31,87,93,261,279,899,2697,8091

Greatest Common Factor

We found the factors 27,8091 . The biggest common factor number is the GCF number.
So the greatest common factor 27,8091 is 9.


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 623/27, 441/8091

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 623/27, 441/8091?

Answer: LCM of Numerators as per given numbers 623/27, 441/8091 is

LCM of Numerators i.e. for 623,441 is 39249

GCF of denominators i.e. for 27,8091 is 9.

Thus, LCM of Fractions is 4361.Finally, LCM of Fractions for 623/27, 441/8091 is 4361.