10 marks

2007-02-14 2:29 am
我想問一條數....


A,B 2個數的H.C.F=2x3
A,B 2個數的L.C.M=2x 3的二次方x 5的二次方
AxB=N N=?

唔該~急要~

回答 (5)

2007-02-14 2:33 am
✔ 最佳答案
AxB = N =A'xB'
2007-02-14 8:30 am
因為
A,B 2個數的H.C.F=2*3
A,B 2個數的L.C.M=2*(3^2)*(5^2)
所以
A*B
=N
=H.C.F.*L.C.M.
=2*3*2*(3^2)*(5^2)
=2700
2007-02-14 3:10 am
A=6的倍數,因數:1,2,3,6

B=2,3,5的倍數

Therefore,

符合條件只有66x180,

即N=11880
2007-02-14 2:38 am
11880

2007-02-13 18:39:44 補充:
N=11880
2007-02-14 2:34 am
AXB = N = HCF * LCM = 2x3 x (2x3^2)x 5^2 = (2x3x5)^2


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