Setup
Go to Settings, Appearance, and scroll all the way down to the CSS snippets section. You might already have some there, or not. It does not matter for us.
Click on the folder icon. This should open the local folder containing the snippets. Create a new file and give it a name that makes sense to you. For example, hide block id.css. Make sure that the file extension is css. If you don’t see your file extensions, click on View, Show, and File name extensions (in Windows Explorer).
Now open the file and copy the CSS code below into it. Save the file, go back to Obsidian and refresh the list of snippets. Enable this one, and that should do it. If it does not, you may have to restart Obsidian.
Result
This snippet will hide block IDs that are usually visible in preview mode, decluttering your notes. For example, when using buttons, it goes from this:

to this:

Code
/* Hide block IDs on inactive lines */
.cm-blockid {
opacity: 0;
}
/* Show block IDs on active lines */
.cm-active .cm-blockid {
opacity: 1;
}Source
I found this on Reddit, posted by user hey_look_its_shiny.