Multiple choice

What is the least natural number which leaves no remainder when divided by all the digit from 1 to 9 ?

  1. $1800$
  2. $5040$
  3. $1920$
  4. $2520$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The least natural number divisible by all digits from 1 to 9 is the least common multiple (LCM) of {1, 2, 3, 4, 5, 6, 7, 8, 9}. LCM(1..9) = 2^3 * 3^2 * 5 * 7 = 8 * 9 * 5 * 7 = 2520.

AI explanation

The required number must be the lowest common multiple of all digits from 1 to 9. By prime factorization, we find the highest powers of primes within this range are 2^3, 3^2, 5 and 7. Multiplying these together gives 8 * 9 * 5 * 7, which equals 2520.

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