Tell my 9 year child how to find the least common factor.
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Hi there! Today we're going to learn about something really cool called multiples. Think of multiples like counting by a special number. When we count by 3, we get 3, 6, 9, 12, and 15. These are all multiples of 3! When we count by 4, we get 4, 8, 12, 16, and 20. These are multiples of 4. Notice how 12 appears in both lists? That's special!
Now let's look at multiples of 6 and 8. The multiples of 6 are 6, 12, 18, 24, 30, and 36. The multiples of 8 are 8, 16, 24, 32, 40, and 48. Do you see any numbers that appear in both lists? Yes! The number 24 appears in both lists. This makes 24 a common multiple of 6 and 8. Common multiples are special because they can be divided evenly by both numbers.
Now let's learn about the Least Common Multiple, or LCM for short. The LCM is the smallest number that appears in both lists of multiples. Here's how we find it step by step. First, we list the multiples of 6: 6, 12, 18, 24, 30, 36. Then we list the multiples of 8: 8, 16, 24, 32, 40, 48. Next, we find the common multiples: 24, 48, 72. Finally, we pick the smallest one, which is 24. So the LCM of 6 and 8 is 24!
Great! Now let's practice together. Can you help me find the LCM of 4 and 6? First, let's list the multiples of 4: 4, 8, 12, 16, 20, 24. Now the multiples of 6: 6, 12, 18, 24, 30, 36. Look carefully! Which numbers appear in both lists? I see 12 and 24. The smallest one is 12, so the LCM of 4 and 6 is 12! You did great following along!
Fantastic job! You've learned all about the Least Common Multiple! Remember the three simple steps: first, list the multiples of both numbers. Second, find the numbers that appear in both lists - these are the common multiples. Third, pick the smallest one - that's your LCM! We found that the LCM of 6 and 8 is 24, and the LCM of 4 and 6 is 12. Keep practicing with different numbers and you'll become an LCM expert! Great work today!