No, the multiple of any random triple is not a Pythagorean triple.
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Pythagorean triples: 3, 4 and 5 or 5, 12 and 13 are two of them
They are all multiples.
All multiples of 8 are also multiples of 2, but not all multiples of 2 are multiples of 8.
Some of the multiples of 14 are the same as the multiples of 16, but not all of them.
Since 10 is a multiple of 5, all multiples of 10 are multiples of 5.