Correct Answer - Option 3 : 11 × 2

^{2} × 3 × 7

^{3} × 5

^{3}
Concept:

LCM: Product of highest power of each commom prime factors in the numbers

**Calculation:**

p = 112 × 22 × 33 × 5

q = 74 × 24 × 3 × 11

r = 23 × 33 × 53 × 73

LCM of p, q and r = 112 × 2^{4} × 33 × 5^{3} × 7^{4}

According to the question:

(LCM of p, q, r) ÷ (62 × 77)

⇒ (112 × 24 × 33 × 53 × 74) ÷ (22 × 32 × 7 × 11)

⇒ (11 × 22 × 3 × 53 × 73)

∴ (LCM of p, q, r) ÷ (62 × 77) = (11 × 22 × 3 × 53 × 73)

The correct option is 3 i.e. (11 × 22 × 3 × 53 × 73)