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I was watching this clip and clearly see Rammus' movement speed increase to an ungodly figure of over 2200.

He activated Yommu's, Righteous Glory, Powerball and was under the influence of Homeguard. Even so, I thought there was a cap on movement speed where the effectiveness of multipliers were exponentially reduced the faster you go.

So how was Rammus able to move this insanely fast?

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    There is no limit to movement speed. I would answer but I don't exactly understand how all the formulas work. Basically it is soft capped at 490 and then everything after seems to be reduced by 50%. Commented Sep 5, 2017 at 3:16

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The last soft cap for movement speed is at 490 u/s as @VanBuzzKill mentioned in his comment.

This means while the movement speed gained from spell is heavily reduced, it is still possible to achieve insanely high speed numbers.

In your video Rammus got a Righteous Glory, a Dead Man's plate, a Yomuu's, Boots of Swiftness and a Runic Echoes enchantment. In addition to that he got help from Zilean (99% MS) and Homeguard (150% MS).

The most important thing about reaching this much MS without much effort is Rammus's Q which grants him an additional 275% MS increase that works multiplicatively (most percentage increases for movement speed work additively, this one doesn't). This is the main reason why it's so easy to reach high speeds with Rammus in a normal game.

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  • That's the bit I was missing, the multiplicative multiplier on his Q. I didn't even see the Zilean.
    – JamesENL
    Commented Sep 5, 2017 at 7:01

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