數學知識交流(31)---H.C.F.和L.C.M.

1. 求1666831和1669973的H.C.F.。

1666831 = 1061 * 1571
1669973 = 1063 * 1571

1666831和1669973的H.C.F. : 1571

2. 求4/477481, 6/484391和8/489919的L.C.M.。

4/477481 = 4/(691)^2
6/484391 = 6/(691)(701)
8/489919 = 8/(691)(709)

L.C.M : 24/(691)(691)(701)(709) = 24/237312354329

3. 求1476.221和14834.99的H.C.F.和L.C.M.。
1476.221 = 1213×1217/1000
14834.99 = 12130×1223/1000
H.C.F. :1213/1000
L.C.M. : 1476.221×14834.99/(1213/1000) = 18054182.83

2011-06-08 16:19:33 補充：
corr.

2. 求4/477481, 6/484391和8/489919的L.C.M.。

4/477481 = 4/(691)^2
6/484391 = 6/(691)(701)
8/489919 = 8/(691)(709)

L.C.M : 24/691