Determining largest sizeof() in boost variant

Given:

boost::variant<T1,T2,T3,...,TN>

Calculate the following at compile time:

max(sizeof(T1), sizeof(T2), sizeof(T3),... ,sizeof(TN))

I had no idea how to approach this, but this answer shed some light on how I might get started. Using the code in that answer with two types, T1 and T2, I could use the following in a source file to get the size of the larger object:

size_t largestSize = sizeof(largest<T1, T2>::type);

This is exactly what I'd like to do, but I need the largest template to work with more than two classes - specifically, it would need to check all types stored in a boost::variant object.

I know that boost::variant has a types typedef, which defines some sort of list of types in the variant. The problem is, I get totally lost when I try to wrap my head around all the boost::mpl stuff in the implementation. I don't intuitively understand what boost::variant::types is, and how I might be able to pass it into my own template that does something with it.

In my head, this is what the final implementation might look like:

typedef boost::variant<T1, T2, T3, T4> MyVariant;
size_t largestSize = sizeof(largest<MyVariant::types>::type);

Unfortunately, I have no idea how to go about implementing this version of largest.

I'm not sure if this is a reasonable approach, so I'm open to any other ways to accomplish this (maybe apply a boost::static_visitor to all types at compile time?).