three bells ring at interval of 30,45 and 60 minutes respectively. If they begin ringing together again?
Answers
Answer:
Lcm of 30,45 and 60 is 180 so after 180 minutes ie at 11 AM they will toll togethet. The next time they till together is their LCM which is 180min. So add 3 hours more to 9:30 am which is 12:30 pm
Step-by-step explanation:
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Answer :
After 890 all bell ring together.
Given :
Three bells rings at interval of 30,40 and 60 minutes.
To Find :
How many minutes after they will begin ringing together again ?
Solution :
So , First we need to Find the LCM (least common multiple) of 30,45 and 90 as required in the LCM
So,
30 = 2 ×3×5
45 = 3×3×5
90= 2×2 ×4 ×5
Therefore, LCM = 3×5×2×3 = 90.
Hence, After 890 minutes all three bells will ring together.
☆Additional Information☆
LCM = Least Common Multiple.
The smallest positive number that is a multiple of two or more numbers.
Least Common Multiple(LCM) is a method to find the smallest common multiple between any two or more numbers.