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Last updated on March 29th, 2025

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Multiples of 390

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Foundation
Intermediate
Advance Topics

In math, multiples are the products we get when 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 390.

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What are the Multiples of 390?

Now, let us learn more about multiples of 390. Multiples of 390 are the numbers you get when you multiply 390 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 390 can be denoted as 390 × 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 390 × 1 will give us 390 as the product. Multiples of 390 will be larger or equal to 390.

multiples of 390
 

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List of First 20 Multiples of 390

Multiples of 390 include the products of 390 and an integer. Multiples of 390 are divisible by 390 evenly. The first few multiples of 390 are given below:
 

TABLE OF 390 (1-10)

390 x 1 = 390

390 x 6 = 2340

390 x 2 = 780

390 x 7 = 2730

390 x 3 = 1170

390 x 8 = 3120

390 x 4 = 1560

390 x 9 = 3510

390 x 5 = 1950

390 x 10 = 3900

 

TABLE OF 390 (11-20)

390 x 11 = 4290

390 x 16 = 6240

390 x 12 = 4680

390 x 17 = 6630

390 x 13 = 5070

390 x 18 = 7020

390 x 14 = 5460

390 x 19 = 7410

390 x 15 = 5850

390 x 20 = 7800

 

Now, we know the first few multiples of 390. They are 0, 390, 780, 1170, 1560, 1950, 2340, 2730, 3120, 3510, 3900,...

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Operations with Multiples of 390

Understanding the multiples of 390 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 390, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 390:

390, 780, 1170, 1560, and 1950 are the first five multiples of 390. When multiplying 390 from 1 to 5 we get these numbers as the products.  
So, the sum of these multiples is:  
390 + 780 + 1170 + 1560 + 1950 = 5850

When we add the first 5 multiples of 390 the answer will be 5850.

 

Subtraction of First 5 Multiples of 390:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 390, 780, 1170, 1560, and 1950 are the first five multiples of 390. So, let us calculate it as given below:  
390 - 780 = -390  
-390 - 1170 = -1560  
-1560 - 1560 = -3120  
-3120 - 1950 = -5070  

Hence, the result of subtracting the first 5 multiples of 390 is -5070.

 

Average of First 5 Multiples of 390:

To calculate the average, we need to identify the sum of the first 5 multiples of 390, and then divide it by the count, i.e., 5. Because there are 5 multiples presented 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 390 is 5850.  
390 + 780 + 1170 + 1560 + 1950 = 5850  
Next, divide the sum by 5:  
5850 ÷ 5 = 1170  

1170 is the average of the first 5 multiples of 390.

 

Product of First 5 Multiples of 390:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 390 include: 390, 780, 1170, 1560, and 1950. Now, the product of these numbers is:  
390 × 780 × 1170 × 1560 × 1950 = 7,458,790,800,000  

The product of the first 5 multiples of 390 is 7,458,790,800,000.

 

Division of First 5 Multiples of 390:

While we perform division, we get to know how many times 390 can fit into each of the given multiples. 390, 780, 1170, 1560, and 1950 are the first 5 multiples of 390.  
390 ÷ 390 = 1  
780 ÷ 390 = 2  
1170 ÷ 390 = 3  
1560 ÷ 390 = 4  
1950 ÷ 390 = 5  

The results of dividing the first 5 multiples of 390 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 390

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Multiples of 390 Examples

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Problem 1

A logistics company is shipping parcels across different regions. Each truck carries 390 parcels, and the company sends out trucks every week. How many parcels will have been shipped after 6 weeks of continuous shipping?

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Explanation

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Problem 2

A factory produces widgets in batches that are multiples of 390. The first three batches have been completed. How many widgets were produced in each of these batches if they follow the sequence of the first three multiples of 390?

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Explanation

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Problem 3

In a large auditorium, there are 390 rows of seats. Each row contains 390 seats. What is the total number of seats in the auditorium?

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Explanation

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Problem 4

A garden has sections assigned to different types of plants. Each section is arranged in plots of 390 plants. If there are 8 sections, how many plants are there in total in the garden?

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Explanation

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Problem 5

A library has a unique system where each shelf holds books in multiples of 390. The first section has 390 books, the second has 780 books, and the third section has 1170 books. How many books are there in all three sections combined?

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Explanation

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FAQs on Multiples of 390

1.How do you find the multiples of 390?

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2.What is the LCM of 390 and 780?

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3.What are the real-life applications of Multiples of 390?

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4.Are multiples of 390 finite or infinite?

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5.Is there any odd multiple of 390?

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Important Glossaries for Multiples of 390

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 390 include 390, 780, 1170, 1560, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 390 are the numbers that consist of the number pattern of 390.

 

  • 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 390 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, and 390 are the divisors of 390.

 

  • Factor: A factor is a number that divides another number completely without leaving any remainder. Factors of 390 include 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, and 390.
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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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