Owls

Number Theory Level 1

One owl hoots every 3 minutes. Another owl hoots every 4 minutes. A third owl hoots every 5 minutes. At how many minutes will all three owls hoot together at the lowest possible time?

60 80 40 20

Anirudh Yanamandra by Anirudh Yanamandra , 17, USA

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2 solutions

Find the LCM thru prime factorization.

3 = 3 3=3

4 = 2 2 4=2^2

5 = 5 5=5

Using the set of prime numbers from each set with the highest exponent value, we take

3 × 2 2 × 5 = 60 3 \times 2^2 \times 5 = \boxed{60}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

To find the solution, simply find the Least Common Multiple of the three given numbers. The answer is 60.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

You put 4 hours not 4 minutes

supper king - 3 years, 2 months ago

You have written 4 hours and not 4 minutes.

Vin Benzin - 3 years, 2 months ago

Put 4 hours not 4 minutes

Sasi Mano - 2 years, 8 months ago

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