The L.C.M. of 22, 54, 108, 135 and 198 is

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### Prime Factorization Table:

| Prime Factor | 22  | 54  | 108 | 135 | 198 |
|--------------|------|------|-----|-----|-----|
| **2**        | 22   | 54   | 108 | 135 | 198 |
| **3**        | 11   | 27   | 54  | 135 | 99  |
| **3**        | 11   | 9    | 18  | 45  | 33  |
| **3**        | 11   | 3    | 6   | 15  | 11  |
| **11**       | 11   | -    | 2   | 5   | -   |
| **-**        | **1**| **1**| **1**| **1**| **1**|

### Explanation:
- Divide each number by its smallest prime factor iteratively.
- Continue until all numbers reduce to **1**.

### LCM Calculation:
Multiply all prime factors obtained during division:
$$
	ext{LCM} = (2 	imes 3 	imes 3 	imes 3 	imes 11 	imes 2 	imes 5) = \mathbf{5940}
$$

Thus, the Least Common Multiple of $$22$$, $$54$$, $$108$$, $$135$$, and $$198$$ is **5940**.

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