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Last updated on February 11th, 2025

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Multiples of 38

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Foundation
Intermediate
Advance Topics

In math, multiples are the products we get while multiplying a number with other numbers. Multiples play a key role in construction and design, counting groups of items, sharing resources equally, and managing time effectively. In this topic, we will learn the essential concepts of multiples of 38.

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What are the Multiples of 38?

Now, let us learn more about multiples of 38. Multiples of 38 are the numbers you get when you multiply 38 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 38 can be denoted as 38 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:

 

Multiple of a number = Number × Any whole number

 

For example, multiplying 38 × 1 will give us 38 as the product. Multiples of 38 will be larger or equal to 38.Multiples of 38
 

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List of First 20 Multiples of 38

Multiples of 38 include the products of 38 and an integer. Multiples of 38 are divisible by 38 evenly. The first few multiples of 38 are given below:

 

TABLE OF 38 (1-10)

38 x 1 = 38

38 x 6 = 228

38 x 2 = 76

38 x 7 = 266

38 x 3 = 114

38 x 8 = 304

38 x 4 = 152

38 x 9 = 342

38 x 5 = 190

38 x 10 = 380

 

TABLE OF 38 (11-20)

38 x 11 = 418

38 x 16 = 608

38 x 12 = 456

38 x 17 = 646

38 x 13 = 494

38 x 18 = 684

38 x 14 = 532

38 x 19 = 722

38 x 15 = 570

38 x 20 = 760

 

Now, we know the first few multiples of 38. They are 0, 38, 76, 114, 152, 190, 228, 266, 304, 342, 380,...
 

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Operations with Multiples of 38

Understanding the multiples of 38 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 38, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 38:

 

38, 76, 114, 152, and 190 are the first five multiples of 38. When multiplying 38 from 1 to 5 we get these numbers as the products.  


So, the sum of these multiples is:


38 + 76 + 114 + 152 + 190 = 570


When we add the first 5 multiples of 38 the answer will be 570.

 

Subtraction of first 5 Multiples of 38:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 38, 76, 114, 152, and 190 are the first five multiples of 38. So, let us calculate it as given below:


38 - 76 = -38
-38 - 114 = -152
-152 - 152 = -304
-304 - 190 = -494


Hence, the result of subtracting the first 5 multiples of 38 is -494.

 

Average of first 5 Multiples of 38:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 38, and then divide it by the count, i.e., 5. Because there are 5 multiples present in the calculation. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 38 is 570.


38 + 76 + 114 + 152 + 190 = 570


Next, divide the sum by 5:


570 ÷ 5 = 114


114 is the average of the first 5 multiples of 38.

 

Product of First 5 Multiples of 38:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 38 include: 38, 76, 114, 152, and 190. Now, the product of these numbers is:


38 × 76 × 114 × 152 × 190 = 1,072,337,920


The product of the first 5 multiples of 38 is 1,072,337,920.

 

Division of First 5 Multiples of 38:

 

While we perform division, we get to know how many times 38 can fit into each of the given multiples. 38, 76, 114, 152, and 190 are the first 5 multiples of 38.


38 ÷ 38 = 1
76 ÷ 38 = 2
114 ÷ 38 = 3
152 ÷ 38 = 4
190 ÷ 38 = 5    


The results of dividing the first 5 multiples of 38 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 38

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Multiples of 38 Examples

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Problem 1

Lisa is organizing a charity event and wants to prepare gift bags. Each gift bag contains 38 items. If she plans to prepare gift bags for 5 consecutive weeks, creating the same number of gift bags each week, how many items will she need in total after 5 weeks?

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Explanation

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Problem 2

Raj, Meera, and Ali are organizing a local sports event, and they decide to distribute medals in the order of the first three multiples of 38. How many medals will each of them distribute based on this series?

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Explanation

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Problem 3

At an art exhibition, there are 38 paintings displayed in each of the 4 galleries. How many paintings are there in total across all galleries?

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Explanation

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Problem 4

Emily has a collection of 6 album boxes. Each box contains 38 albums. How many albums does she have in total?

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Explanation

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Problem 5

Kevin is stacking crates in his warehouse. He places 38 crates in the first stack, 76 crates in the second stack, and 114 crates in the third stack. How many crates are there in total across all three stacks?

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Explanation

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FAQs on Multiples of 38

1.How do you find the multiples of 38?

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2.What is the LCM of 7 and 38?

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3.What are the real-life applications of Multiples of 38?

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4.Are multiples of 38 finite or infinite?

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5.Is there any odd multiples of 38?

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Important Glossaries for Multiples of 38

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 38 include 38, 76, 114, 152, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 38 are the numbers that consist of the number pattern of 38.
     
  • Even number: An even number refers to any number that can be divisible by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 38 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 19, and 38 are the divisors of 38.
     
  • LCM (Least Common Multiple): The smallest multiple that two or more numbers share. For instance, the LCM of 7 and 38 is 266.
     
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Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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