最大公因数是6,最小公倍数是90
- 时间:2020-05-22 15:51:38
- 分类:数学世界
- 阅读:75 次
两个两位自然数,他们的最大公因数是6,最小公倍数是90,则这两个数的积是( )
数学题解答:老师:6*90=540
奇迹说:不对,他说的是两位数,两个两位自然数
老师:积是540,把6和90分别分解质因数:6=2*3,90=2*3*3*5,把所有的质因数全部相乘,也就相当于6*90
奇迹说:可是6不是两位数
丽颜:你为什么听不懂啊!
老师:最大公因数是6,说明两个两位数公有的质因数是2和3;最小公倍数是90,说明两个两位数除了公有的质因数2和3,还有各自独有的质因数3和5。
奇迹:哦,明白了
老师:两个两位数分别是:2*3*3=18,2*3*5=30,它们乘在一起,与6*90的积是相等的
丽颜:哦,谢谢!
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