Least Common Multiple of 404/23, 461/15, 165/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 404/23, 461/15, 165/888 quickly i.e. 30730260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/23, 461/15, 165/888 is 30730260.

LCM(404/23, 461/15, 165/888) = 30730260

LCM of 404/23, 461/15, 165/888

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 404/23,461/15,165/888

Given numbers are 404/23,461/15,165/888

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 404,461,165

Least Common Multiple of Numerators i.e. LCM of 404,461,165 is 30730260.

GCF of Denominators means GCF of 23,15,888 as per the given fractions.

GCF of 23,15,888 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,461,165

LCM of Fractions 404/23,461/15,165/888 is 30730260

Given numbers has no common factors except 1. So, there LCM is their product i.e 30730260

Least Common Multiple of 404,461,165 with GCF Formula

Least Common Multiple of 404,461,165 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 404,461,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,461,165) = 1

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

GCF(404,461,165) x common factors =1 x 1 = 1

LCM(404,461,165) = ( 404 × 461 × 165 ) / 1

LCM(404,461,165) = 30730260 / 1

LCM(404,461,165) = 30730260


Lets's calculate GCF of 23,15,888

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30730260/1

Therefore the LCM of Fractions 404/23,461/15,165/888 is 30730260

Greatest Common Factor of 23,15,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,15,888 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 23,15,888 . The biggest common factor number is the GCF number.
So the greatest common factor 23,15,888 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 404/23, 461/15, 165/888

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 404/23, 461/15, 165/888?

Answer: LCM of Numerators as per given numbers 404/23, 461/15, 165/888 is

LCM of Numerators i.e. for 404,461,165 is 30730260

GCF of denominators i.e. for 23,15,888 is 1.

Thus, LCM of Fractions is 30730260.Finally, LCM of Fractions for 404/23, 461/15, 165/888 is 30730260.