Summing Multiple Table Values Using VLookup

I'm trying to get a more manageable formula for totaling multiple values in one box using Vlookup. For clarification this is what I mean:

On spreadsheet A, I have this table:
[IMG][/IMG]

The value in B2 is the name of the item I am making and the items below are the components required to manufacture said item. In order to build them, I need so many (Column E) and I have indexed my remaining values simply by doing =E3-H3. To build each component requires minerals which are listed on a seperate sheet (Sheet B) as such:

[IMG][/IMG]

The only Value in the above table I am truly interested in is "Current" (E Column).

Back on SheetA, I have a second table which adds all of the component minerals up for a grand total of the minerals required to make the item in B2 as such:
[IMG][/IMG]

Now, this is my issue: The code for N3 is incredibly unwieldy:

=IF($F$3>0, $F$3*VLOOKUP($L3,
'Component Materials'!$A$15:$E$21,5,FALSE))+IF($F$4>0, $F$4*VLOOKUP($L3,
'Component Materials'!$A$25:$E$31,5,FALSE))+IF($F$5>0, $F$5*VLOOKUP($L3,
'Component Materials'!$A$45:$E$51,5,FALSE))+IF($F$6>0, $F$6*VLOOKUP($L3,
'Component Materials'!$A$55:$E$61,5,FALSE))+IF($F$7>0, $F$7*VLOOKUP($L3,
'Component Materials'!$A$65:$E$71,5,FALSE))+IF($F$8>0, $F$8*VLOOKUP($L3,
'Component Materials'!$A$115:$E$121,5,FALSE))+ IF($F$9>0, $F$9*VLOOKUP($L3,
'Component Materials'!$A$135:$E$141,5,FALSE))

I set this up to look at a specific value and if it was >0, it would multiply that value times whatever value it found on SheetB ("Component Materials"). The size of this formula makes this difficult to migrate to further items, so I would like to reduce the complexity of the formula.