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Six bells begin to toll together and toll respectively at intervals of 5, 6, 10, 12,15, and 18 seconds. After how many second will they toll together again?

Six bells begin to toll together and toll respectively at intervals of 5, 6, 10, 12,15, and 18 seconds. After how many second will they toll together again? Correct Answer 180 seconds.

Given:

Six bells begin to toll together and toll respectively at intervals of 5, 6, 10, 12,15, and 18 seconds.

Concept used:

Fraction method used

The Lowest common factor is the L. C. M.

Calculation:

5 = 5 × 1

6 = 2 × 3

10 = 2 × 5

12 = 2 × 2 × 3

15 = 3 × 5

18 = 2 × 3 × 3

L. C.M of 5, 6, 10, 12,15, and 18 = 2 × 2 × 3 × 5 × 3 = 180

∴ Bell ring again 180 seconds.

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