how does lsim deal with transfer function gain

[zaxscdvfbg]

If i have 

poles =[ .....]
zeros = [.....]

numpoly=poly(zeros)
denpoly=poly(poles)

sys=tf(numpoly,denpoly)

You may get for example

(s^2 + 45*s + 2)/(s^3+3245*s^2+45e5*s + 5.567e8)

The DC response in near zero because the ratio of the constants is
(2/5.567e8)

Does lsim include a gain K automatically which might be K = 5.567e8/2  for
this example??

I ask because sometimes it seems to do this and sometimes it does not.

Also if the cooefecient with the zeroth power of s is very large i get zero
results output.

Might i need to break large transfer functions into cascaded second orders
??
If so this sounds like a good candidate for an official function..

Thanks





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