Question

C.M.M.M.C. SI C.M.M.D.C. NUMERELOR :
A) 180,320,432
B)135,270,540
C)270,405,162
D)44,33,66
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Answer 1

Explicație pas cu pas:

a.(180,320,432)=2²=4

180=2²×3²×5¹

320= 2⁶×5¹

432=2⁴×3³

[180,320,432]=2⁶×3³×5¹=64×27×5=8640

b.(135,270,540)=5¹×3³=5×27=135

135=5¹×3³

270=3³×2¹×5¹

540=2²×3³×5¹

[135,270,540]=5¹×2²×3³=5×4×27=540

c.(270,405,162)=3³=27

270=2¹×3³×5¹

405=5¹×3⁴

162=2¹×3⁴

[270,405,162]=2¹×3⁴×5¹=2×81×5=162×5=810

d.(44,33,66)=11¹=11

44=2²×11¹

33=3¹×11¹

66=2¹×3¹×11¹

[44,33,66]=2²×11¹×3¹=4×11×3=44×3=132