Answer:
162
Explanation:
To find the LCM (Least Common Multiple) of 34, 68, and 153, we can use the prime factorization method.
First, we find the prime factors of each number:
34 = 2 x 17
68 = 2 x 2 x 17
153 = 3 x 3 x 17
Next, we write the prime factors of each number in a vertical list, including duplicates, and circle the highest power of each prime factor:
```
2 3 17
2 3 17
2 17
3 17
3 17
Then, we multiply all the circled prime factors to get the LCM:
LCM = 2 x 2 x 3 x 3 x 17 = 612
Therefore, the LCM of 34, 68, and 153 is 612.