questionscan i charge a 15.6 volt craftsman battery in a…

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No. Most likely, the battery won't even fit in the charger.

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This might be a better question to ask at Sears....

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Yes, IF it fits, sorta. Do not run wires to the terminals or jury rig something. It will not charge properly if you do this. The better question is not about voltage, but if your charger can handle the type of battery you are charging. Lithium batteries must have a lithium charger. Ni Cad and Nickel Metal are not fussy. Lithium batteries, charged on the wrong equipment can explode. So, ask a better question. More important than battery voltage is chemistry and check what the battery is made from. It must be on the battery by law.