# Oops! Mixed up Multiplication - Needs to be Fixed

$$Given$$:

$$U$$, $$V$$, $$C$$ are distinct digits, varying from 1 to 9.

$$U$$ > $$V$$ > $$C$$

$$UVC$$, $$VCU$$, $$CUV$$ are concatenated Numbers

$$(UVC)*(VCU)*(CUV)$$ = $$234235286$$

The digits on the right hand side are mixed up except 6 in the units place.

By deducing the digits $$U$$, $$V$$,$$C$$ , please restore the correct number on the right hand side.

• I will wait at least few hours to comment on any answer to see who has best outline of the logical path to final deduction. – Uvc Jul 9 '19 at 11:27

By trial and error:

983 x 839 x 398 = 328245326 -> 234235286
I tried few combinations and found that - it can't be with 1, 5, 6 and 7
5 because number would end with 0 or 5
1 because at least one number would be 1 (199*999*999 starts with 1)
6 (and 7) because it needs another 6 to end with 6 = 2 x 3 or 3 x 7 and it is not correct number combination. Also numbers can't have sum divisible by 3