We get that the birds and the dancers will clock out again in 30 minutes.
We are given that:
a cuckoo clock has birds that pop out of their nests every 6 minutes.
And the dancers that pop out every 15 minutes.
Now, they have popped out the same time. For this to happen again, we will find the LCM of 6 and 15.
6 = 2 × 3
15 = 3 × 5
LCM = 2 × 3 × 5
LCM = 3 × 10
LCM = 30
So, they will pop out again after 30 minutes.
Therefore, we get that the birds and the dancers will clock out again in 30 minutes.
Learn more about LCM here:
https://brainly.com/question/10749076
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