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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


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

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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