How to free up space taken up by local Time Machine snapshots?

What is “Other” storage on a Mac, and how can I clean it out?

Free up storage space on your Mac

OmniDiskSweeper Safe to use

GrandPerspective 

How to delete Time Machine snapshots on your Mac

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Locate backups of your iPhone, iPad, and iPod touch

The final word from Apple on Managing the " Other " Category

Other: Contains files that don’t fall into the categories listed here. This category primarily includes files and data used by the system, such as log files, caches, VM files, and other runtime system resources. Also included are temporary files, fonts, app support files, and plug-ins. You can't manage the contents of this category. The contents are managed by macOS, and the category varies in size depending on the current state of your Mac.

I use sometimes a shell script I made to manually delete Time Machine snaphosts. Here's the script:

#!/bin/bash
for x in $(tmutil listlocalsnapshots /)
do
sudo tmutil deletelocalsnapshots $(cut -d '.' -f 4 <<<"$x")
done

It's then invoked in Terminal with:

sh script.sh

Where script.sh is the script's name. The sudo password is requested.

Please correct me if I am wrong, but are you saving your Time Machine backups on the computer's hard drive? If so, stop and consider this. When your hard drive fails, as all drives eventually do, you will loose EVERYTHING. Backups should always be saved to an external source such as an external disk or a cloud backup service. Note - this does nor include iCloud. It is not a backup service. It is for cross platform sharing of files.

This is great news :-)

You are welcome and thank you too.

Do come back to the Apple Support Communities ( ASC )  in the future, if / or when additional questions may arise