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Question
Oliver, Noah, and Serah set alarms for every 40 seconds, 45 seconds, and 48 seconds, respectively. After how many seconds will they ring together for the first time?
Oliver, Noah, and Serah set alarms for every 40 seconds, 45 seconds, and 48 seconds, respectively. After how many seconds will they ring together for the first time?
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Solution
The correct option is B 720 seconds
Using the ladder method, the LCM of 40, 45, 48:
LCM (40, 45, 48): 2 × 2 × 2 × 2 × 3 × 3 × 5 = 720
Thus, the alarms will ring together for the first time after 720 seconds.
Using the ladder method, the LCM of 40, 45, 48:
LCM (40, 45, 48): 2 × 2 × 2 × 2 × 3 × 3 × 5 = 720
Thus, the alarms will ring together for the first time after 720 seconds.
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