Skip to content

Too many acronyms Mystery Cache

Hidden : 9/21/2014
Difficulty:
2 out of 5
Terrain:
4 out of 5

Size: Size:   small (small)

Join now to view geocache location details. It's free!

Watch

How Geocaching Works

Please note Use of geocaching.com services is subject to the terms and conditions in our disclaimer.

Geocache Description:

The cache is not at the posted coordinates.

\operatorname{lcm}(a,b)=\frac{|a\cdot b|}{\operatorname{gcd}(a,b)}.

The LCM? The GCD? I'm told some people substitute GCF for GCD. Since the GFC I haven't needed to know such things, but in order to meet the needs of paperless cachers with smaller and smaller screens it is best to keep your cache descriptions concise.

So on that note, what is the smallest number that:
when divided by 10 has a remainder of 9,
when divided by 9 has a remainder of 8,
when divided by 8 has a remainder of 7,
when divided by 7 has a remainder of 6,
when divided by 6 has a remainder of 5,
when divided by 5 has a remainder of 4,
when divided by 4 has a remainder of 3,
when divided by 3 has a remainder of 2,
when divided by 2 has a remainder of 1, and
when divided by 1 has a remainder of 0?

Finding the least common multiple (LCM) of the divisors and remainders will yield the singular number you need to solve the cache. It's a rather interesting number which will take you to a reasonably interesting location. Perhaps not as grand as some but there is granite and some great views all the same.


Additional Hints (Decrypt)

Abgr gung gur fbyirq pbbeqvangrf jvyy gnxr lbh gb gur onfr bs gur srngher ohg va ernyvgl gur orggre ivrjf naq gur zber fhvgnoyr uvqvat fcbg ner sebz gur gbc bs vg fb nqq 023 gb lbhe Fbhgu naq purpx gur fcbvyre cvp gb ybpngr gur svany uvqr.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)