This is a Liar Fillomino puzzle. In addition to the usual rules, exactly one given number in each row and column is false.
Answer Entry: Enter the units digits (last digit) of the number in each circled cell starting with the leftmost column and going right.
Highlight to see answer: 13174993
The test will be available to play on LMI pretty soon. Please give it a go this weekend if you can find the time, and good luck if you do!