I don't think there is a fun way to learn multiplication tables!!!!

There may be something on the web where the tables are sung to music. The brian seems to absorb information better this way, a bit like listening to a song you subconsciously learn the lyrics.

Then there are some patterns. For the nine's:

Take one away from the number you are multiplying by and make the difference up to nine.

For example 6*9. Take 1 away from 6 which gives 5.
The difference between 5 and 9 is 4
Therefore the answer is 54
This only works upto 9*9

Hope this helps