Let's assume his high end 5 AD, and assume the most generous definition of a global objective, any tower, Baron, Dragon or Herald her or her team takes.
In order for Shyvana to get 70 AD/Armour/MR from this incredibly generous passive she'd need all 11 towers and at least 3 other objectives. Even then you wouldn't even really need this because it's a huge stat buff when you're ready and able to win, as with the passive on the PBE it's a massive 'win more' passive.
Now let's assume that we're being sane and not including towers, but rather just neutral objectives and you have a number of 14 neutral objectives. To give an idea of what that is, it would be 5 elemental Drakes, Rift Herald, 5 Barons and 3 Elder Dragons. If the game hasn't ended by this point you're doing something terribly wrong.