Yes, and no.
I'm trying to help you, not spend your money so here goes. The psu is the single most important part of any pc. Absolutely everything is connected to it or uses it for power. A bad psu or cheaply designed psu, will have bad outputs. Instead of good, clean power, it'll be subject to spikes, low outputs, overheating etc all of which can and will eventually damage the pc.
Being in the Germany? I'm going to assume you know what ice skates are. You'll understand that the blades need to be nice and straight, clean edges and smooth. That's a good psu. A bad psu is skates with jagged edges, chips and warps in the blades. Will it work? Yes, it'll fit on your feet and you'll be able to skate, not very well, you'll tear up the ice, trip, use a lot more energy just trying to skate on junk ice skates.
So yes, technically that LC 600w with 40A (closer to 36A) will work, but realistically you are trying to justify not spending money on a good set of ice skates when a cheaper set will 'work'.
Power Supply: SeaSonic - S12II 620W 80+ Bronze Certified ATX Power Supply (€64.67 @ Mindfactory)
This will work, this will not damage your pc, this will last for years, this is one of the best psu's designed in its generation, this is still a very good psu. This is built by Seasonic, who builds psus that are considered the standard to try and beat. This is worth every penny.