COUNTIF: MAX Date from 4 columns is less than or equal to Todays Date + 30 then Count

[Lres81715]

I'm pretty sure I'll have to use an array formula for this but here is what I need

4 dates in Columns H, L, M, N I need to find the MAX date from each column's row
Example: =MAX(H5,L5,M5,N5)

But I need to do this for ALL Rows then COUNTIF that Max Date is greater than today's date +30
Example: =COUNTIF(range(frommax),"<="&TODAY()+30)

Here is a visual

	H	L	M	N
5	10/6/2015 <tbody> </tbody>	12/3/2015 <tbody> </tbody>		11/5/2015 <tbody> </tbody>
6	11/22/2015 <tbody> </tbody>	10/16/2015 <tbody> </tbody>	11/6/2015 <tbody> </tbody>
7	11/26/2015 <tbody> </tbody>	10/28/2015 <tbody> </tbody>	11/11/2015 <tbody> </tbody>
8	12/25/2015 <tbody> </tbody>	10/30/2015 <tbody> </tbody>	11/2/2015 <tbody> </tbody>	1/16/2016
9	11/5/2015 <tbody> </tbody>	10/27/2015 <tbody> </tbody>		12/7/2015 <tbody> </tbody>

<tbody>
</tbody>

Today = 10/30/2015

Row 5 = 12/03/2015 (0)
Row 6 = 11/22/2015 (+1)
Row 7 = 11/26/2015 (+1)
Row 8 = 1/16/2016 (0)
Row 9 = 12/7/2015 (0)

Any help please. Thanks

 

[FDibbins]

can you use a helper for this, and have your MAX formula in that - then count from the helper?