Question

find lcm 9,8,7,6,5,4,3,2​

Answer 1

Step-by-step explanation:

Answer is 2520

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Answer 2

Step-by-step explanation:

First write the prime factorization of each number.

1=1. (one is not prime).

2=2

3=3

4=2 x 2

5=5

6=3 x 2

7=7

8=2 x2x 2

9 = 3 x 3

10 = 5 x 2

Let’s think about this intuitively. What Exactly do i want? I want a mumber that can be divided by each of the numbers 1–10. I also want that number to be the least possible. I could multiply all the numbers together but that might not be the least possible case. The key is to multiply the different primes the maximum number of times they occur in an example. So for the number 2, we see that 8 is 2 times 2 times 2 .This ensures the 2’s in 2, 4, 6, and 10 are “covered.” We don’t need to multiply by any more twos.

Continuing this process we obtain

(2x2x2)(3x3)(5)(7)=2520