According to my understanding the minimum is 1 time and maximum is 3 times (not minimum 3 times).
Moreover we should prioritize everything in our live, in the case of salat and wudhu. Salat have higher priority compare to wudhu, that's why if we have no water we can do tayamum. So you shouldn't miss salat just caused by want to perfect the wudhu.
In my understanding wudhu can be as short as 5 minutes even less.
You may want to think about this:
The perfect salat is with wudhu, ruku, bow down, clean quite place, facing qibla etc. But in a certain condition you may pray without ruku or bow down (when you not capable such as sick, on the vehicle), even you don't need to face qibla when you are in moving vehicle (bus/plane etc).
From this we understand that salat is one of the most important part on Islamic faith and should be put in the highest priority, so we have to do it no mater what, if you can do it perfectly with wudhu, clean quite place, facing qibla etc that's the best, but you can not sacrifice salat just because you are lack of the "normal" requirement. If you can not stand you can do with sit, you can sit you can do with laying down combine with hand movement, can not move your hand, use eyes movement and so on, after you can not do anything (die) then somebody will pray for you.
However even salat is one of the most important aspect, if while you are praying your house burnt, you should run right away, not wait till you finish salat, because your life and savety more important.
Again: prioritize, do the best that you can and moderation.
The Prophet said: "Do not eat before you are hungry, and stop eating before you are full"
"1/3 of your stomach for food 1/3 for water, 1/3 for air"