Least Common Multiple of 17/305, 361/288, 741/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/305, 361/288, 741/999 quickly i.e. 239343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/305, 361/288, 741/999 is 239343.

LCM(17/305, 361/288, 741/999) = 239343

LCM of 17/305, 361/288, 741/999

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 17/305,361/288,741/999

Given numbers are 17/305,361/288,741/999

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 17,361,741

Least Common Multiple of Numerators i.e. LCM of 17,361,741 is 239343.

GCF of Denominators means GCF of 305,288,999 as per the given fractions.

GCF of 305,288,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,361,741

LCM of Fractions 17/305,361/288,741/999 is 239343

19 17, 361, 741
17, 19, 39

∴ So the LCM of the given numbers is 19 x 17 x 19 x 39 = 239343

Least Common Multiple of 17,361,741 with GCF Formula

Least Common Multiple of 17,361,741 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 17,361,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,361,741) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(17,361,741) x common factors =1 x 19 = 19

LCM(17,361,741) = ( 17 × 361 × 741 ) / 19

LCM(17,361,741) = 4547517 / 19

LCM(17,361,741) = 239343


Lets's calculate GCF of 305,288,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239343/1

Therefore the LCM of Fractions 17/305,361/288,741/999 is 239343

Greatest Common Factor of 305,288,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,288,999 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 305,288,999 . The biggest common factor number is the GCF number.
So the greatest common factor 305,288,999 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 17/305, 361/288, 741/999

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 17/305, 361/288, 741/999?

Answer: LCM of Numerators as per given numbers 17/305, 361/288, 741/999 is

LCM of Numerators i.e. for 17,361,741 is 239343

GCF of denominators i.e. for 305,288,999 is 1.

Thus, LCM of Fractions is 239343.Finally, LCM of Fractions for 17/305, 361/288, 741/999 is 239343.