Find HCF and LCM of 288, 360 and 384 by prime factorization method

Dear Student,

288 = 2×2×2×2×2×3×3 = 25 32360= 2×2×2×3×3×5 = 23 32 5384= 2×2×2×2×2×2×2×3 = 27 3HCF = 2×2×2×3= 24LCM = 27×32×5 = 5,760

Regards

  • 3
2   288, 360, 384
2   144,  180,  1 92
2   72,      90,   96
2    36,     45,   48
   
 2    18,      27,   24
3      9,        27,   12
3      3,         9,     4
2       3,        9,     2
2     3,          9,     1
3      1,         3,     1
      1,        1,       1

lcm = 2 x 2 x 2 x 3 x 3 x 3  x 2 x 2 x 2 x 2   = 128 x 27 = 3456

hcf is 2 x 2 x 2 x 2= 16

 
  • 0
sorry the earlier one was wrong 
this one is correct
2   288, 360, 384
2    144, 180, 192
2     72,  90,    96
3    36,   45,    48

 2      12,   15,    16
2       6,     15,    8
2      3,    15,     4
2      3,    15,    2
3      3,    15,    1
5       1, 5, 1
,     1, 1, 1


hcf = 24
lcm= 5760
 
  • 6
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