If \(a\) and \(b\) are positive integers, and \((2^3)(3^4)(5^7)=a^3b,\) how many different possible values of \(b\) are

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If \(a\) and \(b\) are positive integers, and \((2^3)(3^4)(5^7)=a^3b,\) how many different possible values of \(b\) are there?

A. 2
B. 4
C. 6
D. 9
E. 12

[spoiler]OA=E[/spoiler]

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