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

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

(A) 2
(B) 3
(C) 4
(D) 6
(E) 12

Answer: E

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