General rule of thumb is "don't".
I would seriously look at restructuring your data, as your lookup tables should only ever be used on row, column or filter fields, or on slicers/timelines, and NEVER on values fields. However, should you have no away around this issue, you could do this:
Go to your "fact" table and write an =RELATED(lookuptable[column]) formula
This will work to "flatten" your table, bringing the related lookup values back to your fact table, but it costs memory and is not a best practice. It would be better to use Power Query to pre-shape the data before loading it in to Power Pivot.
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