GMAT Number Theory LCM HCF

An interesting Problem Solving question from Number Theory

If the LCM of two numbers a and b is 1104 and their HCF is 4, which of the following MUST be true?

I. a * b = 4416 
II. a and b are both divisible by 8 
III. a : b = 48 : 23

A. I only
B. II only
C. I and III only
D. II and III only
E. I, II, and III

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