The LCM of three numbers is four times their GCF. Which of the following must be true of the numbers?
I. At least o ne of the numbers is odd.
II. Two of the three numbers must be same.
III. At least one number is the same as GCF. Select the correct option:
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 o ne of the numbers is odd.
II. Two of the three numbers must be same.
III. At least one number is the same as GCF.