Let \( N \) be the set of natural numbers and for \( a \in N \), \( a N \) denotes the set \( \{....

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Let \( N \) be the set of natural numbers and for \( a \in N \),
\( \mathrm{P} \)
\( a N \) denotes the set \( \{a x: x \in N\} \). If \( b N \cap c N=d N \), where \( b, c, d \) are natural numbers greater than 1 and the greatest common divisor \( (G C D) \) of \( b \) and \( c \) is 1 , then \( d \) equals
(1) \( b+c \)
(2) \( \{b, c\} \)
(3) \( \min \{b, c\} \)
(4) \( b c \)


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