240
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To determine what number 4, 5, 6, and 8 can all go into, we need to find the highest common factor of these numbers. The highest common factor of 4, 5, 6, and 8 is 1 because these numbers do not share any factors other than 1. Therefore, 4, 5, 6, and 8 can all go into any number without leaving a remainder, as they do not have a common factor greater than 1.
8, 5 and 3 can all go into 120 evenly.
If you multiply 5 by 8 (=40) by 6, you get 240 240/5 = 48 240/8 = 30 240/6 = 40 (Note this is just one possible solution).
5/6 − 5/8 = 5/24
The multiples of 10 are: 1, 2, 5, 10 The multiples of 5 are: 1 and 5. The multiples of 6 are: 1, 2, 3, and 6. The multiples of 8 are: 1, 2, 4, and 8. The number that they all have in common is 1, so the lcd is one.