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CalculatorGe

最小公倍数計算機

Find the least common multiple (LCM) of two or more integers: the smallest positive number that all of them divide into evenly. Useful for adding fractions and solving scheduling problems.

以下のガイドはまだ日本語に翻訳されていないため、英語で表示しています。計算機自体はすべて日本語に対応しています。

この計算機の使い方

  1. Enter two or more whole numbers separated by commas or spaces.
  2. The LCM is calculated exactly, even for very large results.

計算式

The LCM is computed from the GCF, which avoids listing multiples. For more than two numbers, apply it pairwise.

lcm(a, b) = |a × b| / gcd(a, b)
lcm(a, b, c) = lcm(lcm(a, b), c)

Example

  1. lcm(4, 6) = 24 / gcd(4, 6) = 24 / 2 = 12.
  2. lcm(12, 15) = 180 / 3 = 60, so lcm(4, 6, 15) = 60.

よくある質問

What is the least common denominator?

The least common denominator of several fractions is the LCM of their denominators. For 1/4 + 1/6, the LCD is 12.

What is the LCM of a number and 0?

By convention it is 0, since 0 is a multiple of every integer.

How is LCM used in real life?

Finding when repeating events coincide, for example two buses every 12 and 15 minutes both leave together every 60 minutes.