To solve the problem, we'll follow these steps:

- **Calculate LCM**: Find the least common multiple (LCM) of the given numbers: 8, 12, 30, 36, and 45.

- **Factorization**:
- 8 = 2^3
- 12 = 2^2 * 3
- 30 = 2 * 3 * 5
- 36 = 2^2 * 3^2
- 45 = 3^2 * 5

- **LCM Calculation**:
- Maximum power of 2 = 2^3
- Maximum power of 3 = 3^2
- Maximum power of 5 = 5^1

- **LCM**: 2^3 * 3^2 * 5 = 360

- **Find a Perfect Square Divisible by LCM**:
- LCM is 360 which is not a perfect square.
- Transform 360 to a perfect square by multiplying with 5: 360 * 5 = 1800
- 1800^0.5 = 60 (a perfect square)

- **Sum of Digits**: Sum of the digits of 60 is 6.

✔ **Correct Answer: Option 1: 6**

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