Question

甲數(shù)=a×b×b×c，乙數(shù)=a×b×d（a、b、c、d都是質(zhì)因數(shù)），甲數(shù)和乙數(shù)的最小公倍數(shù)是

a×b×b×c×d

．

Answer 1

分析：兩個數(shù)的公有質(zhì)因數(shù)與每個數(shù)獨有質(zhì)因數(shù)的連乘積是這兩個數(shù)的最小公倍數(shù)；由此即可求得甲數(shù)和乙數(shù)的最小公倍數(shù)．

解答：解：甲數(shù)=a×b×b×c，乙數(shù)=a×b×d，
所以甲數(shù)與乙數(shù)的最小公倍數(shù)是a×b×b×c×d，
答：甲數(shù)和乙數(shù)的最小公倍數(shù)是a×b×b×c×d，
故答案為：a×b×b×c×d．

點評：此題考查了求兩個數(shù)的最小公倍數(shù)的方法：共有質(zhì)因數(shù)與獨有質(zhì)因數(shù)的連乘積．