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Two lighthouses and the lowest common multiple

LCM

Using the lowest common multiple to work out when two repeating events next coincide.

Challenge level
Exam standard
01
Have a go first

The Question

One lighthouse flashes every 12 seconds, another every 18 seconds. They flash together at 8:00:00. When do they next flash together, and how many times do they flash together in the next 3 minutes?

02
Then check together

The Answer

Reveal the Answer
8:00:36, then 5 times in 3 minutes

LCM(12, 18) = 36 seconds. Three minutes is 180 seconds, and 180 ÷ 36 = 5. Worth asking whether the flash at 8:00:00 itself counts — a good exam-technique discussion.

Now watch the solution

Two lighthouses and the lowest common multiple
Singapore Maths Academy
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Pencil and paper

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