The LCM of three numbers is four times their GCF. Which of the following must be true of the numbers?
I. At least one of the numbers is odd.
II. Two of the three numbers must be same.
III. At least one number is the same as GCF.  Choose one
A) only B) option II only C) and III only D) and II only E) I and III only
Consider the following set: {2, 4, 8}.   GCF = 2.   LCM = 8 = 4*2.   The set discards options I and II. Only B fits.   Answer: option II only.
<result>B</result>
The LCM of three numbers is four times their GCF. Which of the following must be true of the numbers?
I. At least one of the numbers is odd.
II. Two of the three numbers must be same.
III. At least one number is the same as GCF.