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几个数公有的倍数叫公倍数,它的特点是能被这几个整除。但实际问题中往往会有这样的情形:某数分别被几个数除之后有余数,且有的余数相同,有的不同,有的没有余数等等,求某数。这就需要对这个数诸条件分别考虑,再综合判断,方能得到结果。一、除数与余数有一定规律的情况例1.某数被3除余1,被5除余3,被7除余5,求某数。它的特点是除数比余数都大2。于是,能被3、5、7整除的数再减去2便是。又,3、5、7是互质数,故只有它们的公倍数才
The number of public multiple is called the common multiple, which is characterized by several divisions. However, the actual problems often have such a situation: a few were divided by a few after a remainder, and some the same remainder, some different, some without remainder, etc., seeking a number. This needs to be considered separately for several conditions, and then comprehensive judgment, can get the result. First, the divisor and the remainder of a certain law case 1. A number of 3 in addition to more than 1, 5 and more than 3, 7 and more than 5, seeking a number. It is characterized by a divisor greater than the remainder of 2. Thus, the number of divisible by 3, 5, 7 and then subtract 2 is. Also, 3,5,7 is a prime number, so only the common multiple of them