Stupid question about fps

I have no idea why people play lol on higher fps.
You would probably enjoy a 144hz monitor, but not to play LOL though

Then you should play those games you see on Youtube, right?

200 fps. Cool. But you know, what you can see is affected by your monitor. Refresh rate means how many times per second your monitor refreshes what you see. This means refresh rate is your max fps. So unless you sport a 144hz monitor az ulvercarvalho stated, everything beyond your monitor's refresh rate is "wasted." You don't see it. And if you have lets say 60hz monitor and make 200fps, you can get screen tearing. Monitor won't be able to keep up with the gpu clocking insane fps. I have only 60hz screen myself. Played on 144hz one. The diffrence is real...

I agree with what others have said about the monitor but also consider the comparison in your question. One part is watching someone else play and another is actively participating in gameplay. While I notice it when my framerate drops for one reason or another, I am much less likely to go "ohhh look how smooth this is" when I am the one playing because I'm more focused on playing. I could be totally alone in that though...

It's lack of actual control, but not only - game engine can render even in 1000 FPS, but if it's limited by poor design/programming, animations can lack smoothness regardless of how smooth actual rendering is. I wouldn't say that LoL truly utilizes your GPU, I'd rather say that it sucks greatly in terms of graphics, but that's me.

Also monitor matters, really. I'm yet to find a person who can't tell a difference between 60 and 120 FPS - it's gigantic.

most likely just some post processing with the codex used for the video smoothing things out.

Anything above 30fps and I'm happy...

Before the advent of digital television/media, Analog signals worked on roughly 24fps, this actually led to some interesting effects - watch some older movies and you might notice that some things like cart wheels, spinning wheels etc look like the are running backwards. basically this was because the spokes had a revolution of 25 spokes per second and this made the wheel like it was going backwards. While this has changed in current digital media, you will find that movies and most digital footage runs at about 40-45fps - so even watching someone play a games at 40fps or 17000fps on youtube, the actions of the player will still only be shown to you at 40-45fps - which is why so many look smooth.
In regards to some others comments on fps vs hz - they are correct, any fps higher then your refresh rate are wasted and at higher frames can even cause tearing.
The best option in to use framerate control to synch your GPU and Monitor. Most driver suites come with that option available - CCC (Catalyst) and nVidia Control panel do at any rate and they are the 2 main GPU's these days.
Options on monitors like AMD Freesynch and such will also allow a much smoother experience.

i'm happy just by playing anything ¯\_(ツ)_/¯

even more happy if i can reach 30 fps

and 60fps is the best i could have. ❤️

The number of frames doesn't equal smooth; You can only get really smooth with more frames, but a static image for example at a thousand fps will still be static.

What i mean is that the game itself may run poorly or not appear as smooth despite all the frames its generating. A good example are oldschool 2d games- in some a jump animation can be as simple as a single frame.
Better production value games have good animations that show on a good rig at 60fps. Others don't get as nice no matter the fps because the animations and stuff themselves aren't as fluid or nice looking.

The same game can also stutter in a number of ways beyond fps hit depending on engine and rig. Its just uncommon- in general stutter occurs at the output, the overall rendering (thus stutter=fps hit, going up and down), but ive seen some games have specific stutters so to say unrelated to fps. One particular build of TF2 years ago comes to mind: on my old rig characters animation's fluidity suffered but not the fps. Probably a optmization thing for competitive online games- everybody moved across the screen correctly, my camera turned swiftly, but the actual dances and stuff from the characters were skipping frames.

ANOTHER possibility can be video codecs used to render a video(youtube in the case). A particular game may not be as smooth(no matter the rig) as a video if the codec does a better job at smoothing things; A bunch of interpolation and what not techniques are used by codecs and video players to kinda of 'fill gaps' to make videos more smooth. So the actual game animatior might have made a stiff leg movement that seens a bit better under a codecs filter. Its a possibility.
I don't play lol so i can't tell shit about its performance and stuff.

PS: anything beyond 60fps is barely if ever noticeable by the human eye. I have many old games that run at 200 fps, and if i play with a 60fps lock i barely notice any difference. Heck, hands are faster then the eye (thus we have magic for centuries), 200 fps means nothing at all.

PS 2: OVERSPEED may also be a problem. Ive played some older games that were locked in speed to the fps- so when my machine ran then at 100+ fps the game was faster then it should; If you speed up any video it won't go smooth... so if the game or its animations get any bit faster because of said 200fps, it will appear worse then the proper 60.
Heck, i suppose thats the main reason for games having a 60fps lock option.

Partially it's about expectations. You don't "expect" a video to look that smooth, as we're so used to the low FPS of movies. This is also why some people find higher FPS to feel odd for movies, they are so used to a lower FPS that the fluidity just seems off.