It seems like you're asking for the common multiples of numbers in each row, though the formatting is a bit unclear. Based on the given data, I'll assume each row represents a set of numbers, and you want to find the common multiples for each set. Here's the interpretation:

1st set: 1, 5, 7
2nd set: 2, 15, 25
3rd set: 3, 4, 6, 8
4th set: 4, 6, 9
5th set: 5, 18, 24, 12

Approach:

To find the common multiples of the numbers in each set, we'll:

1. Identify the least common multiple (LCM) of each set.
2. The common multiples will then be the integer multiples of the LCM.

Step-by-Step Solution:

1st Set: 1, 5, 7

• The LCM of 1, 5, and 7 is 35.
• The common multiples of 1, 5, and 7 will be the multiples of 35: $35, 70, 105, 140, 175, \dots$

2nd Set: 2, 15, 25

• The LCM of 2, 15, and 25 is 150.
• The common multiples of 2, 15, and 25 will be the multiples of 150: $150, 300, 450, 600, 750, \dots$

3rd Set: 3, 4, 6, 8

• The LCM of 3, 4, 6, and 8 is 24.
• The common multiples of 3, 4, 6, and 8 will be the multiples of 24: $24, 48, 72, 96, 120, \dots$

4th Set: 4, 6, 9

• The LCM of 4, 6, and 9 is 36.
• The common multiples of 4, 6, and 9 will be the multiples of 36: $36, 72, 108, 144, 180, \dots$

5th Set: 5, 18, 24, 12

• The LCM of 5, 18, 24, and 12 is 360.
• The common multiples of 5, 18, 24, and 12 will be the multiples of 360: $360, 720, 1080, 1440, 1800, \dots$

Summary:

• For the first set: Common multiples are multiples of 35.
• For the second set: Common multiples are multiples of 150.
• For the third set: Common multiples are multiples of 24.
• For the fourth set: Common multiples are multiples of 36.
• For the fifth set: Common multiples are multiples of 360.

Would you like more details on how I calculated the least common multiples or other explanations? Let me know if you have any questions.

Here are some related questions for further exploration:

1. How do we find the Least Common Multiple (LCM) of two or more numbers?
2. What is the relationship between prime factorization and the LCM of numbers?
3. How is the greatest common divisor (GCD) used to calculate the LCM?
4. What are the applications of finding common multiples in real-life problems?
5. How do the common multiples of numbers relate to the concept of periodicity?

Tip: When calculating the LCM of large numbers, breaking them down into prime factors can significantly simplify the process!