Multiplication Puzzle

Here is a simple multiplication puzzle.  It is not difficult, if properly attacked: 

A x B = B, B x C = AC, C x D = BC, D x E = CH, E x F = DK, F x H = CJ, H x J = KJ, J x K = E, K x L = L, 
A x L = L. 

Every letter represents a different digit form 0 to 9, and, of course, AC, BC, etc., are two-figure numbers. Can you find the values in figures of all the letters?


Friends, I have tried a solution for this puzzle. Don't have any idea if it's the correct solution. If you could find any other solutions, kindly let me know.

Thank you, 


A x B = B       1 x 3 = 3 
B x C = AC     3 x 5 = 15
C x D = BC     5 x 7 = 35
D x E = CH    7 x 8 = 56
E x F = DK    8 x 9 = 72
F x H = CJ    9 x 6 = 54
H x J = KJ    6 x 4 = 24
J x K = E       4 x 2 = 8
K x L = L        2 x 0 = 0
A x L = L        1 x 0 = 0 


So, the value of each letter is, 

A = 1
B = 3
C = 5
D = 7
E = 8
F = 9
H = 6
J = 4
K = 2
L = 0