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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