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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