Knowee
Questions
Features
Study Tools

What is the least number that is divisible by all natural numbers from 1 to 10 (including 1 and 10)?

Question

What is the least number that is divisible by all natural numbers from 1 to 10 (including 1 and 10)?

🧐 Not the exact question you are looking for?Go ask a question

Solution

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

  1. List the prime numbers less than 10: 2, 3, 5, 7.
  2. For each prime number, find the highest power of that prime which is less than or equal to 10. This is 2^3 (or 8), 3^2 (or 9), 5^1 (or 5), and 7^1 (or 7).
  3. Multiply these numbers together: 8 * 9 * 5 * 7 = 2520.

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

This problem has been solved

Similar Questions

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

Find the least number exactly divisible by 12, 15, 20 and 27.

The least five digit number which is exactly divisible by 12,

What least number must be added to 2010 to obtain a number which is completely divisible by 19?Options :A.5B.4C.3D.None of these

Which is the least number, which, when divided by 12 and 16, leave the same remainder, but is exactly divisible by 11?*1 point9955132176

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.