Respuesta :

The least possible value of k is 7.

The given numbers;

12, 15, 20, k

LCM of 12, 15, 20, k = 420

The prime factor of each of the given is calculated as;

12 = 2² x 3

15 = 3 x 5

20 = 2² x 5

The LCM = 2² x 3 x 5 = 60

The least possible value of k is calculated as;

60k = 420

[tex]k = \frac{420}{60} \\\\k = 7[/tex]

Thus, the least possible value of k is 7.

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