Maximum ranged hit

Maximum ranged hit is a term used to describe the highest amount of ranged damage that can be inflicted. Currently the maximum ranged hit is 2,000 (on a Decaying Avatar during Nomad's Requiem) or 1,500 (on a Steel Titan).

Maximum hit conditions
There has been some speculation about whether it is possible to hit a high maximum on the Corporeal beast. As the Corporeal beast has 20,000 life points, in theory Ruby bolts (e) would be capable of hitting a 4000. However, the Corporeal beast's initial health is only 5000 while regenerating rest of 15000 life points in a manner similar to revenants. Thus Ruby bolts (e) can do a maximum of 1000 life points from its special. Previously the maximum hit was 2000 on an avatar from Soul Wars with ruby bolts (e) but an update lowered it to 700. The maximum ranged damage that can be dealt is now 1,500, on a Steel titan. Although it is possible to hit 2000 on the avatar during Nomad's Requiem. It should also be theoretically possible to hit up to 6000 on Nex, but the max hit is capped at 500.
 * Weapon: Rune crossbow
 * Ammunition: Ruby bolts (e)
 * Opponent: Steel titan
 * Armour: None
 * Other: Steel titan must be at full health.

Note that the max hit with ruby bolts (e) is a special effect of the bolts, not due to equipment bonuses and ranged level.

F2P:


 * Weapon: Maple Bow (long or short)


 * Ammunition: Adamant arrows


 * Armour: Amulet of Zealot


 * Prayer: Eagle Eye

This should potentially hit up to 196, but has yet to be seen as the Amulet of Zealot is a very rare reward for players to pick.

Calculating your maximum ranged hit
With the addition of Ranged strength values, calculating a maximum ranged hit is now fairly easy.

Note: The floor function is used throughout the formula - this simply means round down the decimal to the nearest integer, e.g. $$floor(1.9)=1$$.

Step one: Calculate the effective strength level
$$Effective\ Strength=floor((Ranged\ Level+Potion\ Bonus)\times Prayer\ Bonus\times Other\ Bonus)+Style\ Bonus+Void\ Bonus$$

See the following table for the various bonuses values:

If you are using Void armour, then $$Void\ Bonus=floor\left (\frac{Ranged\ level}{5}+1.6\right )$$, otherwise $$Void\ Bonus=0$$ If you are using the Amulet of Zealot, add 0.05 to your prayer multiplier.

Step two: Calculate the base damage
$$Base\ Damage=5+\frac{(Effective\ Strength+8)\times (Ranged\ Strength+64)}{64}$$

If you are not using a special attack or effect:

$$Max\ Hit=floor(Base\ Damage)$$

Otherwise, continue to step three.

Step three: Calculate the bonus damage
$$Max\ Hit=floor(Base\ Damage\times Special\ Bonus)$$

The following special attack/effect bonuses apply (note: the various bolts bonuses only apply when the special effect activates):

In the case of Zanik's crossbow, the maximum hit is as follows:

$$Max\ Hit_{Zanik's}=floor(Base\ Damage)+150$$

Trivia
During the 22nd October's zombie apocalypse in Clan Wars, Jagex Moderators were able to be attacked. However, they had an extremely large amount of health, meaning players who used the Ruby Bolts (e) effect on them would hit over 2000.