three bells were set to ring at intervals of 20 minutes, 2 minutes and 30 minutes respectively. if they all sing together at 7.30a.m. when will they ring together again?
Answers
Answered by
1
Answer:The bells will ring together at 8.30am
Step-by-step explanation:
Given,
Itntervals of 1st ,2nd and 3rd bell as 20 minutes,2 minutes and 30 minutes respectively.
The time at which all the 3 bells will ring together will be the LCM of their intervals.
That is LCM(20,2,30)
Now by prime factorization method
20=2×2×5
2=2
30=2×3×5
This implies LCM(20,2,30)=2×2×3×5=60
Therefore the bells will ring together after 60minutes after 7.30 am that is at 8.30 am
Similar questions