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Hey there! Today we are going to explore how numbers fit together like puzzle pieces using factors and multiples.
Think of factors as the building blocks of a number. They are the smaller whole numbers you can multiply together to get that number. For example, the factors of 6 are 1, 2, 3, and 6 because they all divide into 6 perfectly!
Multiples are what you get when you multiply a number by other whole numbers. Think of it like skip-counting! The multiples of 3 are 3, 6, 9, 12, and they keep going forever.
When we compare two numbers, we can find what they have in common. The Greatest Common Factor (GCF) is the biggest factor that divides both numbers. The Least Common Multiple (LCM) is the smallest multiple they both share.
Find the Least Common Multiple (LCM) of 4 and 6.
- First, write down the first few multiples of 4 by skip-counting: 4, 8, 12, 16, 20, 24...
- Next, write down the first few multiples of 6 by skip-counting: 6, 12, 18, 24, 30...
- Now, look for the multiples that appear in both lists. We can see 12 and 24 are in both lists.
- Finally, pick the smallest (least) of these common multiples. The smallest one is 12!
- So, the LCM of 4 and 6 is 12.
