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
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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