Răspuns: 845 => numarul ( deimpartitul )
Explicație pas cu pas:
n : 24 = c₁ rest 5 => n - 5 = 24 x c₁
n : 40 = c₂ rest 5 => n - 5 = 40 x c₂
n : 56 = c₃ rest 5 => n - 5 = 56 x c₃
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n - 5 = c.m.m.m.c al numerelor 24, 40 si 56
24 = 2³ × 3
40 = 2³ x 5
56 = 2³ x 7
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c.m.m.m.c al numerelor 24, 40 si 56 = 2³ x 3 x 5 x 7 = 8 ×105 = 840
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n - 5 = 840
n = 840 + 5
n = 845 → numarul
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Verific:
845 : 24 = 35 rest 5
845 : 40 = 21 rest 5
845 : 56 = 15 rest 5
