SOLUTION: what is the least positive interger divible by 1 to 9

Question 217225: what is the least positive interger divible by 1 to 9
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
What you're looking for here is the LCM of the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9

First, list the prime factorization of each number. If you need help with prime factorization, check out this solver.

1: 1

2: 2

3: 3

4: 2*2

5: 5

6: 2*3

7: 7

8: 2*2*2

9: 3*3

Now highlight the unique factors. Remember, highlight the factors that occur most frequently

1: 1

2: 2

3: 3

4: 2*2

5: 5

6: 2*3

7: 7

8: 2*2*2

9: 3*3

Now multiply all of the highlighted factors

2*2*2*3*3*5*7=2520

So the LCM of 1, 2, 3, 4, 5, 6, 7, 8, and 9 is 2520

This means that the number 2,520 is the smallest positive integer that is divisible by 1, 2, 3, 4, 5, 6, 7, 8, and 9
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