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Article #693

Re: Smallest number divisable by 1-10 inclusive?

#693
From: Dave Buck
Date: Fri, 19 Jan 1996 00:00
33 lines
1483 bytes
In article <Pine.SOL.3.91.960118091236.1792A-100000@mail>,
Ronald Kahn  <rkahn@mail.bcpl.lib.md.us> wrote:
>A discution about this just took place, also it was on the SAT.
>

Can't you just take the prime factorizations of all the numbers from 1
to 10, and kind of merge them according to the maximum number of
occurrences?

     2   = 2
     3   = 3
     4   = 2*2
     5   = 5
     6   = 2*3
     7   = 7
     8   = 2*2*2
     9   = 3*3
     10  = 2*5

So the number's factors have to include three 2's, two 3's, a 5 and a
7.
    2*2*2*3*3*5*7=2520


David Buck
dbuck@ccs.carleton.ca

_____________________________________________________________________
| David K. Buck                 | My employer is not responsible for|
| dbuck@ccs.carleton.ca         | my opinions.  In fact, they don't |
| Original author of DKBTrace   | even know I have this account.    |
|_______________________________|___________________________________|
 
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From: dbuck@superior.carleton.ca (Dave Buck)
Subject: Re: Smallest number divisable by 1-10 inclusive?
Date: 1996/01/19
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organization: Carleton University, Ottawa, Canada
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