Question

determinati numarul divizorilor celui mai mic multiplu comun al numerelor :a)144,156,192 b)1890;2268 va rog

Answer 1

144=2^4 *3²
156=2*78=2*2*39=2²*39=2²*3*13
192=2*96=4*48=4*3*16=2^6*3
[2^4*3; 2² *3*13; 2^6*3]=2^6*3*13 care are (6+1)*(1+1)*(1+1)=7*4=28de divizori

1890=2*5*189=2*5*9*21=2*3² *5*7
2268=2*1134=2*9*126=2*9*2*63=2*9*2*9*7=2² *3^4*7
[2*3²*5*7, 2²* 3^4 *7]=2² *3^4 *5*7 care are (2+1)(4+1)(1+1)(1+1)=2*5*2*2=10*4=40de divizori