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tensa zangetsu [6.8K]
4 years ago
7

Peter noticed that his house# is divisible by both 72 and 112.

Mathematics
1 answer:
Sedbober [7]4 years ago
6 0

Answer:

  1. 1008
  2. 3024

Step-by-step explanation:

1) The greatest common factor of 72 and 112 is 8, so the least common multiple is ... 72×112/8 = 1008.

The least common multiple of 72 and 112 is 1008.

__

2) The house number will be a multiple of 1008 between 3000/1008 = 2.98 and 4000/1008 = 3.96. The only integer in that range is 3, so Peter's house number is ...

  3 × 1008 = 3024

Peter's house number is 3024.

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