# [seqfan] Re: LCM of sums of digits

David Corneth davidacorneth at gmail.com
Thu Jun 6 16:29:15 CEST 2019

```When exploring this sequence I'd use A179239. Let f(m) be the lcm of the
sums you intend to consider. Choosing m from A179239, if f(m) is a
permutation of digits of m, you know f(m) is a term.

Virusvrij.
www.avg.com

On Thu, Jun 6, 2019 at 3:12 PM Claudio Meller <claudiomeller at gmail.com>
wrote:

> What would happen if instead of taking only the sums of two numbers, we
> would take all the sums possible?
>
> Foro example if the number Is 2304 we consider
> 2+3= 5
> 2+0= 2
> 2+4= 6
> 3+0= 3
> 3+4= 7
> 0+4= 4
> 2+3+0= 5
> 2+3+4= 9
> Etc
>
> Best
>
> El jue., 6 de jun. de 2019 01:40, Jack Brennen <jfb at brennen.net> escribió:
>
> > There are only two solutions:  1 and 32760.
> >
> > Verified with a Python program that tried the LCM of every set of
> > distinct positive integers <= 18.
> >
> >
> > On 6/5/2019 11:44 PM, Frank Adams-watters via SeqFan wrote:
> > > An upper bound on such numbers is 12252240, the lcm of all numbers 2
> > through 18. In fact, any number with this property must be a divisor of
> > 12252240. There are 480 such numbers, so the problem is easily
> computable.
> > I'm feeling a bit too lazy to do it now; Harvey should be able to do it
> > quickly.
> > >
> > > Franklin T. Adams-Watters
> > >
> > >
> > > -----Original Message-----
> > > From: Harvey P. Dale <hpd at hpdale.org>
> > > To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> > > Sent: Wed, Jun 5, 2019 9:43 pm
> > > Subject: [seqfan] Re: LCM of sums of digits
> > >
> > >      No additional terms up to 10^7.
> > >      Best,
> > >      Harvey
> > >
> > >
> > > -----Original Message-----
> > > From: SeqFan <seqfan-bounces at list.seqfan.eu> On Behalf Of Éric
> Angelini
> > > Sent: Wednesday, June 5, 2019 6:05 PM
> > > To: Sequence Discussion list <seqfan at list.seqfan.eu>
> > > Subject: [seqfan] LCM of sums of digits
> > >
> > > Hello SeqFans,
> > > Jean-Marc Falcoz discovered the
> > > integer 32760 that has a  nice property.
> > > Make all possible sums of two digits:
> > > 3+2=5
> > > 3+7=10
> > > 3+6=9
> > > 3+0=3
> > > 2+7=9
> > > 2+6=8
> > > 2+0=2
> > > 7+6=13
> > > 7+0=7
> > > 6+0=6
> > > The LCM of all those sums is 32760 itself.
> > > Are there more integers like this?
> > > Best,
> > > É.
> > >
> > >
> > > --
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> > >
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> > >
> > >
> >
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```