three alarm clock rings at intervals of 4,12and 20 minutes respectively. if they start ringing together after how much time will they next ring together?
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we need to find the LCM of 4, 12 , 20
We use Prime factorization to get the LCM.
The prime factors are as follows:
4 = 2 × 2
20 = 2 × 2 × 5
12 = 2 × 2 × 3
The LCM is thus:
2 × 2 × 3 × 5 = 60
The bells ring together after 60 minutes.
This is equivalent to 1 hr.
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