Question

I've using least common multiple A movie theater has two screens and shows its movie continuously. A 45-minute documentary is shown on one screen. A 135-minute feature is shown on the other screen. If both movies begin at _______

Answer 1

The least common multiple of 45 minutes and 135 minutes is 540 minutes.

Step-by-step explanation:

The question is asking for the starting time when both movies begin. We can find this by finding the least common multiple (LCM) of the two movie lengths, 45 minutes and 135 minutes. To find the LCM, we can list the multiples of both numbers until we find a common multiple. For 45, the multiples are: 45, 90, 135, 180, 225, 270, 315, 360, etc. For 135, the multiples are: 135, 270, 405, 540, 675, 810, etc. The least common multiple of 45 and 135 is 540 minutes. Therefore, both movies will begin at the same time after 540 minutes.