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Máy tính bội chung nhỏ nhất

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.

Phần hướng dẫn bên dưới chưa có bằng tiếng Việt nên được hiển thị bằng tiếng Anh. Bản thân máy tính đã được dịch đầy đủ.

Cách sử dụng máy tính này

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

Công thức

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.

Câu hỏi thường gặp

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.