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The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

Question

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

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Solution

The least number that is divisible by all the numbers from 1 to 10 is found by finding the least common multiple (LCM) of the numbers. Here are the steps:

  1. List the prime numbers up to 10: 2, 3, 5, 7.
  2. For each prime number, take the highest power that does not exceed 10. For 2, the highest power is 2^3 = 8. For the rest of the primes (3, 5, 7), the highest power is the prime itself.
  3. Multiply these numbers together: 2^3 * 3 * 5 * 7 = 8 * 3 * 5 * 7 = 2520.

So, the least number that is divisible by all the numbers from 1 to 10 is 2520.

This problem has been solved

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