there is no max, the body will use everything you give it...that said, some of the confusion stems from this...
it takes about 20g of protein to stimulate an adequate muscle protein synthetic response. That MPS response continues to increase up to about 40g of protein, but after that, it appears to level off and other is no increase in MPs with more than 40g. That does not mean the body does not use that protein, or those calories don't matter, it just means mps is not better. We also know that mPS levels off and begins to come down at about the 4hr mark. So setting up a diet of 4 meals with approximately 40g of protein spread about 4 hours apart each is a fantastic baseline. From there you can up the protein in each meal or other meals, but you won't see a better ROI in terms of MPS. You will still utilize those proteins, but there is not necessarily any added benefit to their addition or timing.
We also have data that suggest consuming EAA's around the cock in an attempt to keep MPS elevated indef actually has a negative response, so avoiding that would most certainly be the more ideal scenario if you can...