➗ 最小公分母(LCD)计算器Least Common Denominator (LCD) Calculator
输入几个分数(可含整数、小数和带分数),求它们的最小公分母,并把每个分数改写成以 LCD 为分母的等值分数,同时给出它们的和。Enter several fractions (whole numbers, decimals and mixed numbers allowed) to find their least common denominator, rewrite each one over the LCD, and see their sum.
使用说明与常见问题How-to & FAQ
「最小公分母(LCD)计算器」是什么?What is the Least Common Denominator (LCD) Calculator tool?
输入几个分数(可含整数、小数和带分数),求它们的最小公分母,并把每个分数改写成以 LCD 为分母的等值分数,同时给出它们的和。Enter several fractions (whole numbers, decimals and mixed numbers allowed) to find their least common denominator, rewrite each one over the LCD, and see their sum.
如何使用「最小公分母(LCD)计算器」?How do I use the Least Common Denominator (LCD) Calculator tool?
在「最小公分母(LCD)计算器」中,填写「分母」等参数,结果会随输入实时计算并显示在下方。In the Least Common Denominator (LCD) Calculator: Fill in "Denominators"; results are recalculated instantly as you type.
最小公分母怎么求?How is the LCD found?
最小公分母就是各分母的最小公倍数(LCM)。例如 4、6、8 的最小公倍数是 24,所以 1/4、5/6、3/8 的 LCD 是 24。The LCD is the least common multiple of the denominators: for 4, 6 and 8 it is 24, so the LCD of 1/4, 5/6 and 3/8 is 24.
要不要先约分?Should I reduce first?
默认按你输入的分母计算(课本通分题通常如此);选「先约分再求」会先把 2/4 化为 1/2 等,LCD 可能更小。小数会先化为最简分数。By default the denominators are used as typed, as in most textbook exercises; "Reduce first" turns 2/4 into 1/2 and so on, which can give a smaller LCD. Decimals are always converted to lowest terms first.
计算精度如何?How precise are the results?
「最小公分母(LCD)计算器」使用 JavaScript 双精度浮点数(约 15–16 位有效数字),部分功能使用 BigInt 处理大整数。The Least Common Denominator (LCD) Calculator uses double-precision floating point (about 15–16 significant digits); some features use BigInt for large integers.
「最小公分母(LCD)计算器」免费吗?需要注册吗?Is the Least Common Denominator (LCD) Calculator free? Do I need an account?
「最小公分母(LCD)计算器」完全免费,无需注册或安装,打开网页即可使用,手机和电脑都能用;输入的内容只在你的浏览器本地处理。The Least Common Denominator (LCD) Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.