Consider the following in respect of natural numbers a, b and c:
1. LCM (ab, ac) = a LCM(b, c)
2. HCF(ab, ac) = a HCF(b, c)
3. HCF (a, b) `lt` LCM (a, b)
4. HCF (a, b) divides LCM(a, b).
Which of the above are correct?

Options

A. 1 and 2 only
B. 3 and 4 only
C. 1, 2 and 4 only
D. 1, 2, 3 and 4