Question

Three alarm clocks ring at intervals of 6,9,15 minutes respectively.If they start ringing together,after what time will they next ring together?

Answer 1

Answer:

If they start ring together after what time they will ring next time together ? Find their LCM. LCM is the product of all the numbers with their highest power. The answer is 90 minutes.

Step-by-step explanation:

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Answer 2

Three alarm clocks ring together after 90 minutes.

Given:

• Three alarm clocks ring at intervals of 6,9,15 minutes respectively.
• If they start ringing together.

To find:

• After what time will they ring together?

Solution:

Concept to be used:

• Take LCM for the intervals.

Step 1:

Write prime factors of numbers.

$6 = 2 \times 3$

$9 = 3 \times 3$

$15 = 3 \times 5$

Step 2:

Find the time after three alarm clocks ring together.

$LCM(6,9,15) = 2 \times {3}^{2} \times 5$

$LCM(6,9,15) = 2 \times 9 \times 5$

$\bf LCM(6,9,15) = 90$

Thus,

Three alarm clocks ring together after 90 minutes.

Learn more:

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