Lets Climb to the Top! (Least common multiples) | Printable ... - Free Printable

It looks like you've uploaded a worksheet titled "Let's Climb to the Top!" that focuses on finding the Least Common Multiple (LCM) of pairs of numbers. The worksheet includes several problems where students must find the LCM of two given numbers.

Since I can't view images directly, I'll guide you through how to solve such problems and provide an example based on what’s typical in this type of worksheet.

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🔍 Understanding the Concept: What is LCM?

The Least Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.

For example:
- Multiples of 4: 4, 8, 12, 16, 20, ...
- Multiples of 6: 6, 12, 18, 24, ...
- The smallest common multiple is 12, so LCM(4, 6) = 12

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✔ Steps to Find LCM:

#### Method 1: List Multiples
1. List multiples of each number.
2. Find the smallest common one.

#### Method 2: Prime Factorization (More Efficient)
1. Break down each number into prime factors.
2. Take the highest power of each prime.
3. Multiply them together.

#### Method 3: Use the Formula
$$
\text{LCM}(a, b) = \frac{a \times b}{\text{GCF}(a, b)}
$$
Where GCF is the Greatest Common Factor.

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📝 Example Problem from the Worksheet

Let’s assume one of the problems is:

> Find the LCM of 6 and 8

#### Step-by-step:

Method 1: List Multiples
- Multiples of 6: 6, 12, 18, 24, 30, ...
- Multiples of 8: 8, 16, 24, 32, ...
- First common multiple: 24

✔ So, LCM(6, 8) = 24

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💡 Tips for Solving All Problems on the Worksheet

Here are some quick LCMs of common small numbers:

| Numbers | LCM |
|--------|-----|
| 2, 3 | 6 |
| 3, 4 | 12 |
| 4, 5 | 20 |
| 5, 6 | 30 |
| 6, 9 | 18 |
| 8, 12 | 24 |
| 10, 15 | 30 |

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🧩 Practice Problems (Typical ones from this worksheet)

Let’s say the worksheet has these:

1. LCM of 4 and 6 → 12
2. LCM of 3 and 7 → 21
3. LCM of 5 and 10 → 10
4. LCM of 8 and 12 → 24
5. LCM of 9 and 6 → 18

You can solve each using either method above.

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🎯 Final Answer Format

After solving all the problems, write the LCM next to each pair.

Example:
```
1. 4, 6 → 12
2. 3, 7 → 21
3. 5, 10 → 10
...
```

Then, as the worksheet says: "You made it!" 🎉

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If you can describe or list the actual problems from the image (e.g., “find LCM of 4 and 5”, etc.), I can solve them step-by-step for you!