The greatest number of 5 digits that is exactly divisible by each of 8 12 15 and is ........

Quantitative Aptitude (CPO) Number System

The greatest number of 5 digits that is exactly divisible by each of 8, 12, 15 and is:

This questions was previously asked in

SSC CPO 15th-March-2019-Shift-2

99950

99940

99980

99960

- We need the least common multiple (LCM) of 8, 12, and 15 to find the number.

- The prime factorizations are:

- 8 = 2³

- 12 = 2² × 3

- 15 = 3 × 5

- The LCM combines the highest powers of all prime factors: 2³ × 3 × 5 = 120.

- We're finding the largest 5-digit number divisible by 120.

- The largest 5-digit number is 99999.

- Dividing 99999 by 120 gives a quotient of 833.325.

- Rounding down to the nearest whole number, we get 833.

- The largest number divisible by 120 is 833 × 120 = 99960.

- Option 4: 99960

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