Four bells are arranged in such a manner that they ring once every 5,8,10 and 12 respectively. After how many minutes of their ringing simultaneously will they ring again together.

The time interval between two rings :

Take LCM 5, 8, 10, 12 minutes-:

$5 = 5\\ 8 = 2 \times 2 \times 2 \\ 10 = 5 \times 2 \\ 12 = 2 \times 2 \times 3 \\ LCM = 2 \times 2 \times 2 \times 3 \times 5 = 120$

Hence, the bells will ring simultaneously at an interval of 120 minutes or 2 hours

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