The LCM of three numbers is four times their GCF

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.

This problem repeats another one in the library (at most with different numbers), so it's left out of browsing.

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #22015