The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 10800.
Factors:
⇒ 9 = 3 × 3
⇒ 12 = 2 × 2 × 3
⇒ 15 = 3 × 5
⇒ 25 = 5 × 5
⇒ 27 = 3 × 3 × 3
L.C.M = 3 × 3 × 3 × 2 × 2 × 5 × 5 = 2700
5-digit smallest number = 10000
So, the least number of five digits which is exactly divisible by 9, 12, 15, 25, and 27 = 2700 × 4 = 10800