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The image contains a list of exercises that ask to find the least common multiple (LCM) of several sets of numbers. I'll go through the calculations for a few examples, and then explain how to compute the LCM for larger sets of numbers.

### Example 1: 
**Numbers: 20 and 80**

To find the LCM of two numbers, we:
1. **Find the prime factorizations:**
   - 20 = 2² × 5
   - 80 = 2⁴ × 5

2. **Choose the highest powers of each prime factor:**
   - 2⁴ × 5 = 80

So, **LCM(20, 80) = 80.**

### Example 2: 
**Numbers: 32 and 80**

1. **Prime factorizations:**
   - 32 = 2⁵
   - 80 = 2⁴ × 5

2. **Highest powers:**
   - 2⁵ × 5 = 160

Thus, **LCM(32, 80) = 160.**

### Example 3:
**Numbers: 46 and 69**

1. **Prime factorizations:**
   - 46 = 2 × 23
   - 69 = 3 × 23

2. **Highest powers:**
   - 2 × 3 × 23 = 138

So, **LCM(46, 69) = 138.**

### Example 6:
**Numbers: 18, 24, and 40**

1. **Prime factorizations:**
   - 18 = 2 × 3²
   - 24 = 2³ × 3
   - 40 = 2³ × 5

2. **Highest powers:**
   - 2³ × 3² × 5 = 360

Thus, **LCM(18, 24, 40) = 360.**

### General Approach:
For any set of numbers:
1. Break each number into its prime factors.
2. Take the highest power of each prime number across the factorizations.
3. Multiply these highest powers to get the LCM.

Would you like to go through any other specific examples or need more detailed explanations on a step? Let me know!

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Here are some follow-up questions for deeper understanding:
1. What is the difference between LCM and GCD?
2. How does prime factorization help in finding the LCM?
3. Can LCM be used to solve problems involving fractions?
4. What is the LCM of a set of prime numbers?
5. How would you compute the LCM if one of the numbers is 1?

**Tip**: When dealing with multiple numbers, always start by finding the prime factorization to simplify the process of finding the LCM.

Hallar el mínimo común múltiplo (m.c.m.) de las siguientes cantidades: [List of numbers provided in the image]

Find the least common multiple (LCM) of various sets of numbers by applying prime factorization. This detailed explanation covers numbers like 20 and 80, 32 and 80, and other sets to showcase how to compute the LCM. Suitable for Grades 7-9 students.

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