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Default If to determine lessor of three values

I am trying to build an IF statement that will return the lessor of three
values and although I think this should be easy, it's not working.

So my values a
H42 = 500
G44 = 400
G45 = 425

Here's my statement that's not working...
=IF(AND(H42<G44,H42<G45),IF(G44<G45,G44),H42)

thanks in advance
 
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