I had this on file:
380,500 RATIO 1:2.47

380,500,560SEL RATIO 1:2.47 ABS

420SEL RATIO 1:2.47

380SL, 560SL 1:2.47

I didn't find anything that tells whether or not these are LS.
I bellieve there is a W116 chassis (450SE?) that had LSD std. but is uses 2.65 ratio. Close enuff for me.
I sure liked it when I installed a 3.07 in my 220 gasser.

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'95 E320 Wagon my favorite road car. '99 E300D wolf in sheeps body, '87 300D Sportline suspension, '79 300TD w/ 617.952 engine at 367,750 and counting!