I think you're a bit confused here, The /OE line is purely an output enable bar.
When it is high the outputs are tri-state but the state of the latches is not affected.
The LE line controls the latches, when it is high the latch is transparent (the output Q follows the input D) when it drops low output D holds the state of the input Q (when LE was last High).
If you put an inverter in one LE line and the other, one '373 will be latched when the other is transparent.
(If you want to avoid the transparent state use the edge triggered 74HCT374 this device only samples the D input on the rising edge of the clock.)
You can't really use a single resistor in the common cathode line; if a '1' is displayed then 2 segments are on, for an '8' all seven are on. So the brightness changes depending on what is displayed.
Jim