Question

six bells commence tolling together and toll at interval of 2,4,6,8,10,12minutes respectively.in 30 hours,how many times do they toll together?​

Answer 1

Answer:

In 30 minutes, how many times do they toll together ? Explanation: L.C.M. of 2, 4, 6, 8, 10, 12 is 120. So, the bells will toll together after every 120 seconds(2 minutes).

Step-by-step explanation:

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Answer 2

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, 12 minutes respectively.

Find LCM using prime factorization:

2 = 2 (prime number) 4 = 2 × 2

6 = 2 × 3

8 = 2 × 2 × 2

10 = 2 × 5

12 = 2 × 2 × 3

Therefore, LCM (2, 4, 6, 8, 10, 12) = 2 x 2 x 2 × 3 × 5 = 120 After every 120 minutes = 2 hours, bells will toll together. So, required number of times = (30/2 + 1) = 16 times.Read six-bells-commence-tolling-together-and-toll-at-intervals-of-2-10-12-minutes-respectively