Recommending "recaping" as a general fix, is something of meme now. It's no joke on the Korgs though. I advise replacing all the electrolytics in them, so I made a the following images and lists to help.
The logic board only has a few capacitors. The 470u are the large, axial type, and don't seem to be an issue. They're listed for completeness.
| Name | Value | Voltage |
| C21 | .33u | 50V |
| C1 | 10u | 16V |
| C22 | 470u | 25V |
| C23 | 470u | 25V |
Here are the relevant capacitors on the sound board. They're color coded by value.
Red = 1u / 50V
Org = 10u / 16V
Ylw = 100u / 16V
Grn = other
Here are the footprints on the bottom, to help with desoldering. These are not coded, because they should all be removed.
Here are the types and totals of capacitors:
| Value | Voltage | Total |
| .15u | 50V | 2 |
| .22u | 50V | 2 |
| 100u | 16V | 5 |
| 10u | 16V | 14 |
| 1u | 50V | 14 |
| 47u | 16V | 1 |
Here are the individual capacitors, and their function in the circuit. This can be helpful for debugging.
| Name | Value | Voltage | Role |
| C59 | .15u | 50V | Low Conga |
| C60 | .15u | 50V | Hi Conga |
| C49 | .22u | 50V | HiHat |
| C61 | .22u | 50V | Tom Noise Audio |
| C50 | 100u | 16V | Cymbal Power |
| C52 | 100u | 16V | Hat Power |
| C106 | 100u | 16V | Power |
| C107 | 100u | 16V | Power |
| C123 | 100u | 16V | Metal Power |
| C20 | 10u | 16V | Bd, Sn Power |
| C21 | 10u | 16V | Bd, Sn Power |
| C51 | 10u | 16V | Cymbal Power |
| C71 | 10u | 16V | Tom/Conga Audio |
| C72 | 10u | 16V | Tom/Conga Power |
| C73 | 10u | 16V | Tom/Conga Power |
| C98 | 10u | 16V | RS/Clav/CB Audio |
| C99 | 10u | 16V | RS/Clav/CB Power |
| C100 | 10u | 16V | RS/Clav/CB Power |
| C101 | 10u | 16V | RS/Clav/CB Power |
| C103 | 10u | 16V | Mix Audio |
| C105 (C05) | 10u | 16V | Power |
| C112 | 10u | 16V | Noise |
| C114 | 10u | 16V | Noise Power |
| C2 | 1u | 50v | Bd Trigger |
| C5 | 1u | 50v | Bd Audio |
| C10 | 1u | 50V | Sn |
| C13 | 1u | 50V | Sn Audio |
| C16 | 1u | 50V | Sn Body Audio |
| C18 | 1u | 50V | Sn Audio |
| C54 | 1u | 50V | Low Conga |
| C55 | 1u | 50V | Low Conga |
| C64 | 1u | 50V | Hi Conga |
| C65 | 1u | 50V | Hi Conga |
| C90 | 1u | 50V | Claves Audio |
| C95 | 1u | 50V | Cowbell |
| C108 | 1u | 50V | Noise |
| C111 | 1u | 50V | Noise |
| C19 | 47u | 16V | Bd, Sn Power |
