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I know! But then, it is the same Lecoultre family as Jaeger-Lecoultre.

The later models didn't have a screwdriver, but you'll know if that's the one you've got by the style of the set-screw. On the ones without the tool, the set-screw is knurled like a watch crown.
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I believe the small booklet that holds the blades can hold up to 12.

7 blades is definitely a find though, even if the frame is pretty badly worn down! Just tape it up and hone'em, they're amazing...