Question

13. a) Let's take two call bells and mark them as A and B. Now, let's do the following activities and answer the given questions. (i) Let's ring both the bells at a time and see at what time you rang the bell. (ii) Then, ring bell A after each interval of 2 minutes and bell B after each interval of 3 minutes. In this way, after how many minutes do you ring both the bells at a time? (iii) Again, ring bell A in every 4 minutes intervals and bell B in every 6 minutes intervals. In this way, after how many minutes do you ring both the bells at a time? Now, did you understand one of the uses of L.C.M. in our real life situations? ​

Answer 1

(i) If we ring both the bells at the same time, we will know the time at that moment.

(ii) If we ring bell A after every 2 minutes and bell B after every 3 minutes, then we will ring both bells at the same time after 6 minutes. This is because the LCM of 2 and 3 is 6.

(iii) If we ring bell A after every 4 minutes and bell B after every 6 minutes, then we will ring both bells at the same time after 12 minutes. This is because the LCM of 4 and 6 is 12.

The LCM is a useful concept in our daily lives, especially when we need to find the least common multiple of two or more numbers. For example, it can be used to find the time when two events will occur together, like ringing two bells at the same time. It is also used in many other fields like mathematics, science, engineering, and computer science.