what is the least number that is

divisible by 2,3,4,5,,6,9 and 10?

2

3
4=2*2
5
6=2*3
7
8=2*2*2
9=3*3
10=2*5

so we need 2*2*2*3*3*5*7 = 2520

To find the least number that is divisible by 2, 3, 4, 5, 6, 9, and 10, you need to find the least common multiple (LCM) of these numbers. The LCM is the smallest multiple that all these numbers can divide evenly into.

To find the LCM, you can start by listing the prime factors of each number:

- 2 has prime factorization: 2
- 3 has prime factorization: 3
- 4 has prime factorization: 2^2
- 5 has prime factorization: 5
- 6 has prime factorization: 2 * 3
- 9 has prime factorization: 3^2
- 10 has prime factorization: 2 * 5

To find the LCM, you need to consider the highest power of each prime factor that appears in the prime factorizations of all the numbers.

In this case, the highest power of 2 is 2^2, the highest power of 3 is 3^2, and the highest power of 5 is 5. So the LCM is 2^2 * 3^2 * 5.

Calculating the value, the least number that is divisible by 2, 3, 4, 5, 6, 9, and 10 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.

Therefore, the least number that is divisible by 2, 3, 4, 5, 6, 9, and 10 is 180.