Least Common Multiple of 18/165, 9294/3421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/165, 9294/3421 quickly i.e. 27882/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/165, 9294/3421 is 27882/11.

LCM(18/165, 9294/3421) = 27882/11

LCM of 18/165, 9294/3421

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 18/165,9294/3421

Given numbers are 18/165,9294/3421

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 18,9294

Least Common Multiple of Numerators i.e. LCM of 18,9294 is 27882.

GCF of Denominators means GCF of 165,3421 as per the given fractions.

GCF of 165,3421 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,9294

LCM of Fractions 18/165,9294/3421 is 27882/11

2 18, 9294
3 9, 4647
3, 1549

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1549 = 27882

Least Common Multiple of 18,9294 with GCF Formula

Least Common Multiple of 18,9294 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 18,9294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,9294) = 6

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

GCF(18,9294) x common factors =6 x 1 = 6

LCM(18,9294) = ( 18 × 9294 ) / 6

LCM(18,9294) = 167292 / 6

LCM(18,9294) = 27882


Lets's calculate GCF of 165,3421

11 165, 3421
15, 311

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27882/11

Therefore the LCM of Fractions 18/165,9294/3421 is 27882/11

Greatest Common Factor of 165,3421 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,3421 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 3421

List of positive integer factors of 3421 that divides 3421 without a remainder.

1,11,311,3421

Greatest Common Factor

We found the factors 165,3421 . The biggest common factor number is the GCF number.
So the greatest common factor 165,3421 is 11.


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 18/165, 9294/3421

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 18/165, 9294/3421?

Answer: LCM of Numerators as per given numbers 18/165, 9294/3421 is

LCM of Numerators i.e. for 18,9294 is 27882

GCF of denominators i.e. for 165,3421 is 11.

Thus, LCM of Fractions is 27882/11.Finally, LCM of Fractions for 18/165, 9294/3421 is 27882/11.