Question : The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is:
Option 1: 10800
Option 2: 10250
Option 3: 10700
Option 4: 10600
Correct Answer: 10800
Solution :
Given numbers:
9, 12, 15, 25, and 27
9 = 3 × 3
12 = 2 × 2 × 3
15 = 3 × 5
25 = 5 × 5
27 = 3 × 3 × 3
⇒ LCM = 3 × 3 × 3 × 2 × 2 × 5 × 5
= 2700
From the above options, 10800 is the least number of five digits, which is divisible by the given numbers.
Hence, the correct answer is 10800.
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