Question

4. Determinati cel mai mic multiplu comun al următoarelor numere naturale:
b) 28:42
d) 36:54:
h) 54; 90:
D 75; 200.
a) 24, 36;
e) 60; 48:
172: 108;
f) 48; 72:
80; 120:
c) 30; 45;
g) 75; 60;
k) 54; 180;

Answer 1

a)
24 = 2^3*3
36 = 2^2*3^2
cmmmc = 2^3*3^2 = 72
___________
b)
28 = 7*2^2
42 = 7*2*3
cmmmc = 7*3*2^2 = 84
___________
c)
30 = 2*3*5
45 = 3^2*5
cmmmc = 2*3^2*5 = 90
_______________
d)
36 = 2^2*3^2
54 = 2*3^3
cmmmc = 2^2*3^3 = 108
_________________
e)
60 = 2^2*3*5
48 = 2^4*3
cmmmc = 2^4*3*5 = 240
_________________
f)
48 = 2^4*3
72 = 2^3*3^2
cmmmc = 2^4*3^2 = 144
______________
g)
75 = 3*5^2
60 = 2^2*3*5
cmmmc = 2^2*3*5^2 = 300
______________
h)
54 = 2*3^3
90 = 2*3^2*5
cmmmc = 2*3^3*5 = 270
_______________
i)
72 = 2^3*3^2
108 = 2^2*3^3
cmmmc = 2^3*3^3 = 216
_________________
k)
54 = 2*3^3
180 = 2^2*3^2*5
cmmmc = 2^2*3^3*5 = 540
___________________
l)
75 = 3*5^2
200 = 2^3*5^2
cmmmc = 2^3*5^2*3 = 600