4 years ago

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

Mathematics

1 answer:

Sedbober [7]4 years ago

6 0

Answer:

1008
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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