Hello all,
Attached is my work regarding the question on the sum of multiples within a range of numbers. I thought my work was correct but I seem to keep getting the same answer. I hope you can help!
Did you miss the note?
I dont think I fully understand the note. Where did I double count?
Let’s think about the LCM of 2 and 3, that would be 6, right?
6 will appear in your list of multiples of 2 AND your list of multiples of 3.
So maybe we end up with double the number of multiples of 6?
Every third multiple of 2 will be a multiple of 3.
2,4,6
8,10,12
14,16,18
And so on …
If you count 6 as both a multiple of 2 and a multiple of 3 you’ll be double counting.