On the greatest common factor and the least common multiple It is known that: (a, b) = 23, [a, b] = 2500 [b, C] = 1500, then how many groups of natural numbers, a, B, C, satisfy the above conditions? (a, b) means the greatest common factor of a and B, [a, b] means the least common multiple of a and B, and so on

On the greatest common factor and the least common multiple It is known that: (a, b) = 23, [a, b] = 2500 [b, C] = 1500, then how many groups of natural numbers, a, B, C, satisfy the above conditions? (a, b) means the greatest common factor of a and B, [a, b] means the least common multiple of a and B, and so on

The title is wrong
(a, b) = 23, [a, b] = 2500. This is impossible. The least common multiple of two numbers must be an integral multiple of the greatest common factor

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