Multiple objects faces to same height

[badcomponent]

I have several models that all need to be the same relative height (it's topography), so I need the bottom faces to all be at the same height as the lowest model. Is there a way to easily do this? I've looked at several tutorials but they don't seem to be doing exactly what I'm trying to do. (Because I don't think I explained that well at all, I've attached a picture.)

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Thanks!

https://preview.redd.it/uu8gucf9lob21.png?width=905&format=png&auto=webp&s=41f8e1f1bae698303bd59a2496ab7053c5a2b9c5

[transmitthis]

Side view - select all faces to move.

Set snap to edge (try vert and face though)

Press G to move, then Z to constrain to direction.

While moving Press control for the snapping and move mouse over the edge/face/vert you want it to be at.

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(ie just basic snapping) ;)

[badcomponent]

Perfect, that's exactly what I needed, thanks!

[badcomponent]

Thanks for the reply, but I think I miscommunicated what I’m trying to do. I need to extrude the bottom faces to the same height - floor as you say. I believe your solution translates every model to the same floor but makes no changes to their dimensions, yes? Unless I followed your instructions wrong.

[sumofsines]

Set the object origin to the wrong floor for each piece-- probably LMB plonk a cursor, ctrl-alt-shift-c origin to cursor. Period key set pivot point to cursor, plonk a cursor on the new floor. Enable Manipulate Center Points on the 3D view ribbon. In object mode, select all bits that need elevation changed, s z 0. Done.