can I find my stolen Mac with just a serial number

No. If your Mac is lost or stolen - Apple Support

stolenMacBooks Said:

"can I find my stolen Mac with just a serial number: can I find my stolen Mac with just a serial # ? find my Mac wasn't turned on"

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Troubleshooting a Lost or Stollen iPhone:

You really can't without a Third-Party software installed.

Five tactics to try here...

Start Here: If your Mac is Lost or Stolen - Apple Support

• Dial it: See if it is heard ring

• Ask Local Authorities: See if it has be hanged over.

• Text It: Ask whomever has come across it, to contact you.

• Ask Someone: See if someone you know (i.e. Friend, or Family Member) if that came across it.

• Backtrack your Locations: If you are at a Coffee shop, or a library, stop by and see if it was safely placed asside.