*distinct*3-digit positive decimal integers

**P**,

**Q**and

**R**, each having no leading zeroes and with

**P**>

**Q**>

**R**, are such that:

(i) The product

**P***

**Q***

**R**contains

*precisely*one 8, one 6, one 5, one 4, two 3’s and three 2’s (albeit not necessarily in this order), and:

(ii)

**P***

**Q***

**R**consists of

*precisely*9 digits with the

*last digit*being 6, and:

(iii)

**P**,

**Q**and

**R**are obtained from one another by

**cyclic permutation**of digits.

Determine all possible triplet(s) (

**P**,

**Q**,

**R**) that satisfy the given conditions.

__Note__: This problem can be solved without using a computer program, however computer program/spreadsheet solutions are welcome.