I carry a full size S&W 1911 concealed and it is not a problem at all.
Many people try CC with full size firearms and they decide it is not for them but they do not give it a chance. Anything that is strange to someone is often met with resistence.
The first thing to consider is body size. A petite lady will have difficulty concealing a large gun on her person, although I have seen it done. A 6'2", 250 pound person can pretty much conceal what ever they want.
Next is clothing choice. Carrying anything concealed may require some modifications in the way you dress. If you are one as my brother in law was and wear clothes so tight that a quarter in your pocket shows, then nothing will be able to be properly concealed. For men, it may mean buying shirts one size too large. But it can be done and after a little trial and error along with some experience, you can conceal a large sidearm.
Then we have holster considerations. Never buy cheap holsters. They are uncomfortable and seldom last very long and they will discourage one from carrying. Your gun costs money and so should your holster. I prefer good leather and hate plastic. Plastic tends to scratch guns and rub skin. Soft leather is much easier to wear. A good IWB works well for concealment as does a well made belly band. If you can wear a windbreaker, jacket, coat or such, a nice shoulder holster works great.
Where you carry is up to what works best for you. Over the years I have seen concealed carry everywhere on a person. One man had a S&W .357 with a four inch barrel inside the crotch of his underwear that, even after four experienced searches, was missed and he used it to kill an officer that was taking him to jail. I saw a rather large lady hide a gun in her cleavage that was not discovered until she was booked into jail. Both of those examples are extreme but done. Ankle holsters are good but uncomfortable for me and they are difficult to access in a hurry. Belly bands work well once one gets used to them around their waist. IWB on the waist works well but it might be one location is better for some that others.
But full size carry is possible if you work at it and a 1911 is the perfect gun for such. It is powerful, it is flat and it is accurance as well as reliable.