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

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

Labels: GMAT Number Properties, GMAT Number Theory, GMAT Numbers, GMAT Problem Solving, GMAT Problem Solving Practice