Question

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Plzzzz help me !!

Q- Three alarm clocks rings at intervals of 5, 12 and 20 minutes respectively. If they start ringing together, after how much time will they next ring together ??

CLASS - X
MATHS
CH- REAL NUMBERS
TOPIC- DIVISION LEMMA AND FUNDAMENTAL THEOREM OF ARITHMETIC ..

Answer 1

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Three Clock rings at interval of 5, 12 and 20 minute.

L.C.M. of 5, 12 and 20 is 60.

So, After 60 minute or 1 hour all the three clock rings will meet.
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Answer 2

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Here to find the next value of time ,

we have to find the L.C.M of all the mean time

= L.C.M of 5 , 12 , 20 is 60

so the time after which the next alarm will ring is 60 minutes that is 1 hour