London Heathrow to Shanghai Pu Dong (Via FrnakFurt) to Tokoyo and return via Beijing

Hello,
I have been struggling to get a definitive answer to my below query.

I have booked flights from London to Shanghai (via Frankfurt) and return flight from Beijing to London (again via Frankfurt).

I was hoping to go to Tokyo in between (fly from Shanghai to Tokyo and then Tokyo back to Beijing) Can I make use of the 144 hour & 72 hour transit visas?

Thanks