试题与答案

A=2×3×a,B=3×a×7,已知A与B的最大公约数是15,那么a=_____

题型:填空题

题目:

A=2×3×a,B=3×a×7,已知A与B的最大公约数是15,那么a=______,A与B的最小公倍数是______.

答案:

已知A与B的最大公因数是15,也就是3×a=15,即a=5,

A和B的最大公有质因数是15,A的独有质因数是2,B的独有质因数是7,

所以A和B的最小公倍数是15×2×7=210.

故答案为:5,210.

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