2x LED Cinema Display A1316 with Mac Studio M4 Max

MacTracker says that A1316 is the model number for the LED Cinema Display (27-inch).

That Is a 27", 2560x1440 pixel monitor that takes Mini DisplayPort connection. Its hydra cable has three heads: Mini DisplayPort, USB-A (USB 2.0), and MagSafe.

To connect one to a M4 Max Mac Studio, you would need something like

• A USB-C (male) to Mini DisplayPort (female) adapter plugged into to a rear-panel USB-C port on the M4 Max Mac Studio, or into a downstream USB-C (Thunderbolt) port on a Thunderbolt dock or hub.
• A dock with a regular DisplayPort, and a DisplayPort (male) to Mini DisplayPort (female) adapter

You might also need to plug in the USB-A cable. There are various ways of doing that. The MagSafe head can be ignored, as long as you aren't letting it touch metal and get shorted out or something.

Double-check that this is a 27" LED Cinema Display (with a three-headed hydra cable) and not a 27" Thunderbolt Display (with a two-headed one). The Thunderbolt Display's hydra cable also uses a Mini DisplayPort connector – but it expects to see a Thunderbolt signal on that connector, not a plain DisplayPort one. For the 27" Thunderbolt Display, you would need an Apple Thunderbolt 3-to-2 adapter. That adapter does not know how to output a plain DisplayPort signal and would thus be inappropriate for a 27" LED Cinema Display.

Another possibility might be something like this:

Other World Computing – Thunderbolt Dual DisplayPort Adapter

plus a couple of DisplayPort (male) to Mini DisplayPort (female) adapters.

StarTech – 6in (15cm) DisplayPort Male to Mini DisplayPort Female Adapter Cable - DP Computer to mDP 1.2 Monitor Extension Cable

That would tie up only one of the Thunderbolt ports on the back of the M4 Max Mac Studio (although the two monitors would still count as two, toward that Mac's limit of five).

SonnetTech used to have a similar adapter listed on their site, but I don't see it there any more.

The Thunderbolt 5 (USB-C) ports on the Mac Studio also support USB3/4 and DisplayPort 2.1.

I don't know just what that particular DP protocol requires in a monitor, but assuming it is backward compatible with the earlier DP protocol of the LED Cinema Display, then you should be fine.

You will need to add a USB-C to Mini DisplayPort adapter to connect your LED Cinema Displays.

You'll need an adapter similar to this:

StartTech.com USB-C to Mini DisplayPort Adapter - Office Depot

Mac Studio M4 Max Tech Specs - Apple Support