# [seqfan] Re: LCM of sums of digits

Claudio Meller claudiomeller at gmail.com
Thu Jun 6 15:12:32 CEST 2019

```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.
> >
> >
> >
> > -----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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>

```