QuestionFind three pairs of numbers where the LCM of each pair is 24.
Studdy Solution
STEP 1
Assumptions1. We are looking for pairs of integers.
. The least common multiple (LCM) of each pair is24.
3. The pairs can consist of the same number (e.g.,24 and24).
STEP 2
First, we need to find the factors of24, as these are potential candidates for our pairs. Factors are numbers that divide evenly into another number.
STEP 3
Now, we can start forming pairs. The LCM of two numbers is the smallest number that both numbers divide evenly into. Therefore, any pair that includes24 will have an LCM of24. Let's start with (24,24).
STEP 4
Next, we can form a pair with12, since24 is a multiple of12. The LCM of12 and24 is24, so (12,24) is our second pair.
STEP 5
Finally, we can form a pair with8, since24 is a multiple of8. The LCM of8 and24 is24, so (8,24) is our third pair.
The three pairs of numbers such that the LCM of each pair of numbers is24 are (24,24), (12,24), and (8,24).
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