Three bells ring at intervals of 48,60 and 72 mins, If they start ringing together after how much time will the next sing togother?
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Answers
Answer:
let's we take LCM of these tree numbers 48,60and72---
we found 720.
it means if bells are start ring together at the same time, those are next sing together after 720 minutes..
' .
Three bells will next sing together in 720 mins
Given :
Three bells ring at intervals of 48,60 and 72 mins
To find :
If they start ringing together after how much time will the next sing together
Solution :
Step 1 of 2 :
Find the LCM of 48,60 and 72
Here it is given that three bells ring at intervals of 48,60 and 72 mins
We prime factorise the given numbers
48 = 2 × 2 × 2 × 2 × 3
60 = 2 × 2 × 3 × 5
72 = 2 × 2 × 2 × 3 × 3
LCM
= 2 × 2 × 2 × 2 × 3 × 3 × 5
= 720
Step 2 of 2 :
Find when three bells will next sing together
Since the LCM = 720
Hence three bells will next sing together in 720 mins
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