Răspuns: 543 => numarul
Explicație pas cu pas:
n : 12 = c₁ rest 3 ⇒ n - 3 = 12 × c₁
n : 15 = c₂ rest 3 ⇒ n - 3 = 15 × c₂
n : 27 = c₃ rest 3 ⇒ n - 3 = 27 × c₃
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n - 3 = c.m.m.m.c al numerelor 12, 15 si 27
12 = 2² x 3
15 = 3 x 5
27 = 3³
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c.m.m.m.c al numerelor 12, 15 si 27 = 2² x 3³ x 5 = 27 x 20 = 540
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n - 3 = 540 ⇒ n = 540 + 3 ⇒ n = 543 → deimpartitul
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Verific:
543 : 12 = 45 rest 3
543 : 15 = 36 rest 3
543 : 27 = 20 rest 3
