The magic numbers

Let’s say that you wanted to have lots of money by fletching and alchemy, but you didn’t want to waste any time by not having a full inventory for every action.

You would need (for this method)

  • 55 magic (High alchemy)
  • 60 woodcutting (Yew trees)
  • 44 runecrafting (Nature runes)
  • 70 fletching (Yew longbows)
  • 10 crafting (Bowstrings)
  • The small and medium pouches
  • 30 mining (Pure essence)
  • Access to the fairy rings (Nature runes)
  • Nature tiara (Nature runes)
  • Lots of patience
  • Fire/Lava staff/battlestaff/mystic staff (High alchemy)

Basically, what you need to do is think about it:  The most logs you can make into unstrung bows at one time is 27, the most nature runes you can craft at once is 35 (with this method), the most logs/flax/bowstring you can get in your inventory is 28.  The most bows you can put bowstring on at once is 14.

The factors of these numbers are:
14 {2|7}
27 {3|3|3}
28 {2|2|7}
35 {5|7}

The most the numbers appear in any one factor list are:
2-2 times
3-3 times
5-1 time
7-1 time

If we multiply all of the numbers we just got, we get the least common multiple, 3780.  That gives us the ability to get multiples of 3780 without having any spaces unused in the inventory.

3780 items is:
108 runecrafting inventories
135 logs/flax/bowstring inventories
140 unstrung bow making inventories
280 bow stringing inventories

If we take the number of completed yew longbows we will get and multiply that by the high alchemy value of a yew longbow, (768 coins,) we get 2,903,040 coins.  That’s almost 3 million!

In other news, I have made a spreadsheet with the level exp values up to 200.  The highest one possible is 126, the highest one Jagex will let us to is 99.  View the spreadsheet here.