Find the least positive integer $r$ such that for any positive integers $a,b,c,d$ ,\[((abcd)!)^{r}\] is divisible by the product :
\[\prod _{cyclic}(a!)^{bcd+1}\prod _{cyclic}((ab)!)^{cd+1}\prod _{cyclic}((abc)!)^{d+1}\].
If you can't understand,contact someone elder,I can't write all $14$ terms....sorry,really.
PROBLEM NO.41 (B0MC-2,DAY-5)
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Re: PROBLEM NO.41 (B0MC-2,DAY-5)
Hint:
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