1.28,56,126
2.48,108,180
更新1:
幫我解答埋: 用質因數連乘式,找出下列各題的H.C.F.和L.C.M. 3.90,125,255 4.312,624,104
質因數連乘式
回答 (2)
2009-08-08 8:33 pm
✔ 最佳答案
(1) 28 = 2 x 2 x 756 = 2 x 2 x 2 x 7
126 = 2 x 3 x 3 x 7
HCF = 2 x 7 = 14
(2) 48 = 2 x 2 x 2 x2 x 3
108 = 2 x 2 x 3 x 3 x 3
180 = 2 x 2 x 3 x 3 x 5
HCF = 2 x 2 x 3 = 12
2009-08-08 21:21:31 補充：
90 = 2 x 3 x3 x 5
125 = 5 x 5 x 5
255 = 3 x 5 x 17
HCF = 5
LCM = 2 x 3 x 3 x 5 x 5 x 5 x 17 = 38250
312 = 2 x 2 x 2 x 3 x 13
624 = 2 x 2 x 2 x 2 x 3 x 13
104 = 2 x 2 x 2 x 13
HCF = 2 x 2 x 2 x 13 = 104
LCM = 2 x 2 x 2 x 2 x 3 x 13 = 624
2009-08-08 21:21:47 補充：
90 = 2 x 3 x3 x 5
125 = 5 x 5 x 5
255 = 3 x 5 x 17
HCF = 5
LCM = 2 x 3 x 3 x 5 x 5 x 5 x 17 = 38250
312 = 2 x 2 x 2 x 3 x 13
624 = 2 x 2 x 2 x 2 x 3 x 13
104 = 2 x 2 x 2 x 13
HCF = 2 x 2 x 2 x 13 = 104
LCM = 2 x 2 x 2 x 2 x 3 x 13 = 624
2009-08-08 8:39 pm
28 = 2^2 x 7
56 = 2^3 x 7
126 = 2 x 3^2 x 7
The H.C.F. of 28, 56, 126 is 2 x 7 = 14
48 = 2^4 x 3
108 = 2^2 x 3^3
180 = 2^2 x 3^2 x 5
The H.C.F. of 48, 108, 180 is 2^2 x 3 = 12
56 = 2^3 x 7
126 = 2 x 3^2 x 7
The H.C.F. of 28, 56, 126 is 2 x 7 = 14
48 = 2^4 x 3
108 = 2^2 x 3^3
180 = 2^2 x 3^2 x 5
The H.C.F. of 48, 108, 180 is 2^2 x 3 = 12
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