a) 2 = 2
9 = 3^2
cmmmc(2,9) = 2 x 3^2 = 18
b) 7 = 7
14 = 2 x 7
cmmmc(7,14) = 2 x 7 = 14
c) 2 = 2
3 = 3
4 = 2^2
cmmmc(2,3,4) = 2^2 x 3 = 12
d) 4 = 2^2
5 = 5
cmmmc(4,5) = 2^2 x 5 = 20
e) 2 = 2
3 = 3
5 = 5
cmmmc(2,3,5) = 2x3x5 = 30
f) 15 = 3 x 5
30 = 2 x 3 x 5
45 = 3^2 x 5
cmmmc(15,30,45) = 2 x 3^2 x 5 = 90
g) 20 = 2^2 x 5
40 = 2^3 x 5
50 = 2 x 5^2
cmmmc(20,40,50) = 2^3 x 5^2 = 200
h) 2 = 2
4 = 2^2
6 = 2 x 3
8 = 2^3
cmmmc(2,4,6,8) = 2^3 x 3 = 24
i) 10 = 2 x 5
15 = 3 x 5
30 = 2 x 3 x 5
60 = 2^2 x 3 x 5
cmmmc(10,15,30,60) = 2^2 x 3 x 5 = 60
j) 11 = 11
33 = 3 x 11
66 = 2 x 3 x 11
99 = 3^2 x 11.
cmmmc(11,33,66,99) = 2 x 3^2 x 11 = 198
Ex.18
Se calculeaza cmmmc(4,6,10):
4 = 2^2
6 = 2 x 3
10 = 2 x 5
cmmmc(4,6,10) = 2^2 x 3 x 5 = 60
Cel mai mic mic numar de elevi care se pot alinia in coloana de cate 4, 6 sau 10 elevi este 60.