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Question : The greatest number of five digits which is divisible by 13, 15, 18, and 21 is:

Option 1: 99120

Option 2: 98280

Option 3: 96840

Option 4: 95830


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 98280


Solution : The least common multiple (LCM) of 13, 15, 18, and 21 is 8190.
The greatest number of five digits is 99999.
We need to find the largest multiple of 8190 that is less than or equal to 99999.
Dividing 99999 by 8190 gives a quotient of 12 and a remainder.
The largest number less than 99999 that is divisible by 13, 15, 18, and 21 is 12 × 8190 = 98280
Hence, the correct answer is 98280.

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