If N is a positive integer and 14N/60 is an integer. What is the smallest Value of N for which N has exactly four different prime factors.?
Choose one:
A) 30	B) 60	C) 180	D) 210	E) cannot be determined
14N/60 tells us that N must be multiple of 30.   Or N has at least 2 *3 * 5 in it.   To find out the smallest value of N such that it has 4 different prime factors, we will multiple 30 with next smallest prime factor which is 7 here.   So, Least value of N is 30 *7= 
<gadget id="calculator">30 *7</gadget>
<output>210</output>
210 .   ANSWER:210
<result>D</result>
If N is a positive integer and 14N/60 is an integer. What is the smallest Value of N for which N has exactly four different prime factors.?