Correct Answer - Option 3 : 1080
Given:
Divisors are = 12, 18, and 27
Calculation:
According to the question,
⇒ 12 = 22 × 3
⇒ 18 = 32 × 2
⇒ 27 = 33
∴ LCM of 12, 18 and 27 = (22 × 33) = (4 × 27) = 108
We know, 1000 = 108 × 9 + 28
∴ The smallest four-digit number completely divisible by 12, 18 and 27 = (108 × 10) = 1080