Least Common Multiple of 27/165, 4092/1919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/165, 4092/1919 quickly i.e. 36828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/165, 4092/1919 is 36828.

LCM(27/165, 4092/1919) = 36828

LCM of 27/165, 4092/1919

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 27/165,4092/1919

Given numbers are 27/165,4092/1919

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 27,4092

Least Common Multiple of Numerators i.e. LCM of 27,4092 is 36828.

GCF of Denominators means GCF of 165,1919 as per the given fractions.

GCF of 165,1919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,4092

LCM of Fractions 27/165,4092/1919 is 36828

3 27, 4092
9, 1364

∴ So the LCM of the given numbers is 3 x 9 x 1364 = 36828

Least Common Multiple of 27,4092 with GCF Formula

Least Common Multiple of 27,4092 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 27,4092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,4092) = 3

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

GCF(27,4092) x common factors =3 x 1 = 3

LCM(27,4092) = ( 27 × 4092 ) / 3

LCM(27,4092) = 110484 / 3

LCM(27,4092) = 36828


Lets's calculate GCF of 165,1919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36828/1

Therefore the LCM of Fractions 27/165,4092/1919 is 36828

Greatest Common Factor of 165,1919 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,1919 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 1919

List of positive integer factors of 1919 that divides 1919 without a remainder.

1,19,101,1919

Greatest Common Factor

We found the factors 165,1919 . The biggest common factor number is the GCF number.
So the greatest common factor 165,1919 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 27/165, 4092/1919

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 27/165, 4092/1919?

Answer: LCM of Numerators as per given numbers 27/165, 4092/1919 is

LCM of Numerators i.e. for 27,4092 is 36828

GCF of denominators i.e. for 165,1919 is 1.

Thus, LCM of Fractions is 36828.Finally, LCM of Fractions for 27/165, 4092/1919 is 36828.