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 × 24 × 33 × 53 × 74
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)