小明的房间地面是一个正方形，要铺地砖。无论选择边长是50cm的正方形地砖，还是选择边长是60cm的正方形地砖，都正好铺满，小明房间的地面至少是多少平方米?

数学题解答：这也是一道关于最小公倍数的应用题。房间地面的边长应是50和60的公倍数。先把50和60分别分解质因数，算出50和60的最小公倍数即可求出答案。

50＝2×5×5，60＝2×2×3×5（用红色标出公有的质因数）

2×5×2×3×5＝300

300平方厘米＝3平方米

答：小明房间的地面至少是3平方米。

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