Three bells ring together at 6:30 a.m. If the bells ring at intervals of 9 min., 12 min. and 18 min . respectively , then at what time will the three bells ring together next ?
Answers
Answered by
19
thats easy. take the lcm of 9,12,18 thats is 36 and add 36 min. to the given time. Next time= 7:06
Answered by
17
It is given that 3 bells ring together at 6.30AM.
Given that three bells are ringing continuously at intervals of 9min,12min,18min respectively.
Prime factorization of 9 = 3 * 3
Prime factorization of 12 = 2 * 2 * 3
Prime factorization of 18 = 2 * 3 * 3.
LCM of 9,12,18 = 2 * 2 * 3 * 3
= 4 * 9
= 36.
Therefore all the three bells ring after 36 minutes = 6.30 + 36
= 7.06a.m.
Hope this helps!
Given that three bells are ringing continuously at intervals of 9min,12min,18min respectively.
Prime factorization of 9 = 3 * 3
Prime factorization of 12 = 2 * 2 * 3
Prime factorization of 18 = 2 * 3 * 3.
LCM of 9,12,18 = 2 * 2 * 3 * 3
= 4 * 9
= 36.
Therefore all the three bells ring after 36 minutes = 6.30 + 36
= 7.06a.m.
Hope this helps!
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