Let's answer the question: "How long ago did invertebrates become common on Earth?"
The key information needed is the time period when invertebrates first became common. According to the geologic time scale, the key event where invertebrates became common is noted during the Silurian period.
From reliable geologic records, it is known that the Silurian period is approximately 410 million years ago.
Thus, the answer is:
410 million years ago.