Least Common Multiple of 27/599, 22/992, 561/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/599, 22/992, 561/309 quickly i.e. 10098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/599, 22/992, 561/309 is 10098.

LCM(27/599, 22/992, 561/309) = 10098

LCM of 27/599, 22/992, 561/309

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 27/599,22/992,561/309

Given numbers are 27/599,22/992,561/309

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 27,22,561

Least Common Multiple of Numerators i.e. LCM of 27,22,561 is 10098.

GCF of Denominators means GCF of 599,992,309 as per the given fractions.

GCF of 599,992,309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,22,561

LCM of Fractions 27/599,22/992,561/309 is 10098

3 27, 22, 561
11 9, 22, 187
9, 2, 17

∴ So the LCM of the given numbers is 3 x 11 x 9 x 2 x 17 = 10098

Least Common Multiple of 27,22,561 with GCF Formula

Least Common Multiple of 27,22,561 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 27,22,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,22,561) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(27,22,561) x common factors =1 x 33 = 33

LCM(27,22,561) = ( 27 × 22 × 561 ) / 33

LCM(27,22,561) = 333234 / 33

LCM(27,22,561) = 10098


Lets's calculate GCF of 599,992,309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10098/1

Therefore the LCM of Fractions 27/599,22/992,561/309 is 10098

Greatest Common Factor of 599,992,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,992,309 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 599,992,309 . The biggest common factor number is the GCF number.
So the greatest common factor 599,992,309 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 27/599, 22/992, 561/309

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 27/599, 22/992, 561/309?

Answer: LCM of Numerators as per given numbers 27/599, 22/992, 561/309 is

LCM of Numerators i.e. for 27,22,561 is 10098

GCF of denominators i.e. for 599,992,309 is 1.

Thus, LCM of Fractions is 10098.Finally, LCM of Fractions for 27/599, 22/992, 561/309 is 10098.