1. A bell rings every 5 minutes. A second bell rings every 6 minutes and if two bells ring at 8 o'clock in the morning, then find the time they will ring together first time.
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Step-by-step explanation:

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CBSE
Mathematics
Grade 9
Number System

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A bell rings every 5 seconds. A second bell rings every 6 seconds and a third bell rings every 8 seconds. If all the three rings at the same time at 8:00 a.m., at what time will they all ring together next?
(a) 1 minute past 8:00 a.m.
(b) 2 minutes past 8:00 a.m.
(c) 3 minutes past 8:00 a.m.
(d) 4 minutes past 8:00 a.m.

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Hint: First, we should know the method to calculate LCM of the numbers as to find the L.C.M. of any numbers we will continuously divide the numbers starting by the smallest prime number which is 2 and divide until we get all numbers as 1. Then, we need to convert the calculated LCM into minutes and add it to the time mentioned at which all the bells ring for the first time which is 8 a.m. Then, on addition, we get the desired time at which all three of them will ring again together.
Complete step-by-step answer:
In this question, we are supposed to find the L.C.M. which is the lowest common multiple of 5 seconds, 6 seconds and 8 seconds to get the common time at which they all will ring together.
To find the L.C.M. of any numbers we will continuously divide the numbers starting by the smallest prime number which is 2 and divide until we get all numbers as 1.
Now, to find the L.C.M. of the 5 seconds, 6 seconds and 8 seconds, we proceed as follows:
2∣∣5,6,8−−−−−2∣∣5,3,4−
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