a : 24 = c1, rest 4
a : 40 = c2, rest 4
a : 52 = c3, rest 4
a = 24 * c1 + 4
a = 40 * c2 + 4
a = 52 * c3 + 4
⇒ a - 4 = 24 * c1 = 40 * c2 = 52 * c3
⇒ a - 4 = c.m.m.m.c. [ 24, 40, 52 ]
24 = [tex]2^{3} * 3[/tex]
40 = [tex]2^{3} * 5[/tex]
52 = [tex]2^{2} * 13[/tex]
c.m.m.m.c. [ 24, 40, 52 ] = [tex]2^{3} * 3 * 5 * 13[/tex] = 1560
a = 1560 + 4 = 1564
