The greatest number of five digits which is divisible by 13 15 18 and 21 is ........

Quantitative Aptitude (CPO) Number System

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

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 2

99120

98280

96840

95830

- To find the greatest five-digit number divisible by given numbers, determine the least common multiple (LCM) of 13, 15, 18, and 21.

- Factorize each:

- 13 = 13

- 15 = 3 × 5

- 18 = 2 × 3²

- 21 = 3 × 7

- The LCM is 2 × 3² × 5 × 7 × 13 = 49140.

- The greatest five-digit number is 99999.

- Divide 99999 by 49140 to find the maximum multiple: 99999 ÷ 49140 ˜ 2.

- Multiply 49140 by 2 to get 98280.

- 98280 is divisible by 13, 15, 18, and 21.

Answer: Option 2 - 98280

Submit Error