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TRIM FUNCTION TO BE ADDED

Don't use entire column range in your array formula. Formula will iterate through every cell in column and creates rather large overhead on resource.

If you need to, use dynamic named range to capture range.

Trim function should only have B:B range in it's argument. Rest should be outside.
I.E. IF(TRIM(LookupLists!$B$2:$B$641)=Sheet1!$E532,1)
 
So how did you apply the formula and how it's not working? Give us more detail.

Not sure exactly what you are after. But this returned results.
=INDEX(LookupLists!$C$2:$C$641,MATCH(1,IF(LookupLists!$A$2:$A$641=Sheet1!$C2,IF(TRIM(LookupLists!$B$2:$B$641)=Sheet1!$E2,1)),0))

Confirmed as array (CTRL + SHIFT + ENTER).
 
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