The least common multiple of positive integer d and 3-digit integer n is 690. If n is not divisible by 3 and d is not divisible by 2, what is the value of n?
Select.
A) 115	B) 230	C) 460	D) 575	E) 690
The LCM of n and d is 690 = 2*3*5*23.   d is not divisible by 2, thus 2 goes to n   n is not divisible by 3, thus 3 goes to d.   From above:   n must be divisible by 2 and not divisible by 3: n = 2*... In order n to be a 3-digit number it must take all other primes too: n = 2*5*23= 
<gadget id="calculator">2*5*23</gadget>
<output>230</output>
230.   Answer: 230.
<result>B</result>
The least common multiple of positive integer d and 3-digit integer n is 690. If n is not divisible by 3 and d is not divisible by 2, what is the value of n?