Mother rabbit said, "children, don't be busy." I have to let you count how many mushrooms are in this bag first. "
Mother rabbit told me, "If these mushrooms are divided into two parts equally, there will be 1 mushroom left ..."
"There are only three mushrooms in this bag!" Before the mother rabbit finished speaking, the little white rabbit scrambled to answer.
"That's not necessarily, maybe five, seven, nine, 1 1 ...? I can't count, it's odd anyway. " The little black rabbit said.
"Don't worry, I'm not finished yet!" Mother rabbit went on to say, "if this bag of mushrooms is divided equally among the three of you: the little white rabbit, the little gray rabbit and the little black rabbit, there will be one left in the end;" If a family of five is divided equally, there will still be one left in the end. Do the math, children? How many mushrooms are there in this bag at least? "
"This is not easy to calculate." The little white rabbit feels embarrassed.
However, Xiao Xuemian was not discouraged. He thought it over carefully and said confidently, "Mom, you picked at least 3 1 mushroom."
Mother rabbit said happily, "Yes! Then how did you work it out? "
Little grey rabbit said, "I think so." Because there is one part left in two parts, the number of mushrooms must be a multiple of 2 plus1; Moreover, it is divided into three parts on average, and all five parts have one left, so it must be a multiple of 3 plus 1 and a multiple of 5 plus 1. So the number of mushrooms is 2, 3 and 5. Common multiple plus 1. That is to say, there are at least 2× 3× 5+ 1 = 3 1 mushrooms in this bag. "
Mother rabbit is very satisfied with Little Grey Rabbit's answer. She happily divided the mushrooms into five parts and gave the extra 1 to the little gray rabbit.