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Last updated on March 29th, 2025

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Multiples of 378

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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 378.

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What are the Multiples of 378?

Now, let us learn more about multiples of 378. Multiples of 378 are the numbers you get when you multiply 378 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 378 can be denoted as 378 × 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 378 × 1 will give us 378 as the product. Multiples of 378 will be larger or equal to 378.

multiples of 378
 

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List of First 20 Multiples of 378

Multiples of 378 include the products of 378 and an integer. Multiples of 378 are divisible by 378 evenly. The first few multiples of 378 are given below:

 

TABLE OF 378 (1-10)

378 x 1 = 378

378 x 6 = 2268

378 x 2 = 756

378 x 7 = 2646

378 x 3 = 1134

378 x 8 = 3024

378 x 4 = 1512

378 x 9 = 3402

378 x 5 = 1890

378 x 10 = 3780

 

TABLE OF 378 (11-20)

378 x 11 = 4158

378 x 16 = 6048

378 x 12 = 4536

378 x 17 = 6426

378 x 13 = 4914

378 x 18 = 6804

378 x 14 = 5292

378 x 19 = 7182

378 x 15 = 5670

378 x 20 = 7560

 

Now, we know the first few multiples of 378. They are 0, 378, 756, 1134, 1512, 1890, 2268, 2646, 3024, 3402, 3780,...

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Operations with Multiples of 378

Understanding the multiples of 378 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 378, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 378:


378, 756, 1134, 1512, and 1890 are the first five multiples of 378. When multiplying 378 from 1 to 5 we get these numbers as the products.  
So, the sum of these multiples is:
378 + 756 + 1134 + 1512 + 1890 = 5670

When we add the first 5 multiples of 378 the answer will be 5670.

 

Subtraction of first 5 Multiples of 378:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 378, 756, 1134, 1512, and 1890 are the first five multiples of 378. So, let us calculate it as given below:
378 - 756 = -378  
-378 - 1134 = -1512  
-1512 - 1512 = -3024  
-3024 - 1890 = -4914  

Hence, the result of subtracting the first 5 multiples of 378 is -4914.

 

Average of first 5 Multiples of 378:


To calculate the average, we need to identify the sum of the first 5 multiples of 378, 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 378 is 5670.
378 + 756 + 1134 + 1512 + 1890 = 5670  
Next, divide the sum by 5:
5670 ÷ 5 = 1134  
1134 is the average of the first 5 multiples of 378.

 

Product of First 5 Multiples of 378:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 378 include: 378, 756, 1134, 1512, and 1890. Now, the product of these numbers is:
378 × 756 × 1134 × 1512 × 1890 = 65,387,614,017,280  

The product of the first 5 multiples of 378 is 65,387,614,017,280.

 

Division of First 5 Multiples of 378:


While we perform division, we get to know how many times 378 can fit into each of the given multiples. 378, 756, 1134, 1512, and 1890 are the first 5 multiples of 378.
378 ÷ 378 = 1  
756 ÷ 378 = 2  
1134 ÷ 378 = 3  
1512 ÷ 378 = 4  
1890 ÷ 378 = 5  
The results of dividing the first 5 multiples of 378 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 378

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Multiples of 378 Examples

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Problem 1

A toy factory produces toy cars in batches, where each batch contains 378 toy cars. If the factory produces 5 batches of toy cars in a week, how many toy cars does the factory produce in total for that week?

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Explanation

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Problem 2

A farmer is planting trees in his orchard. He plants trees in three sections of his orchard, following the order of the first three multiples of 378. How many trees are planted in each section of the orchard?

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Explanation

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Problem 3

In a large conference room, there are 378 chairs. Each row contains exactly 9 chairs. How many rows of chairs are there?

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Explanation

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Problem 4

A bookstore organizes a book reading event every month. They distribute 378 bookmarks each month. If the event continues for 8 months, how many bookmarks will they distribute in total?

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Explanation

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Problem 5

A school cafeteria serves lunch in sets of trays, where each set contains 378 trays. If the cafeteria serves 2 sets of trays each day, how many trays are served in 7 days?

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Explanation

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FAQs on Multiples of 378

1.How do you find the multiples of 378?

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2.What is the LCM of 7 and 378?

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3.What are the real-life applications of Multiples of 378?

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4.Are multiples of 378 finite or infinite?

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5.Is there any odd multiples of 378?

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Important Glossaries for Multiples of 378

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 378 include 378, 756, 1134, 1512, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 378 are the numbers that consist of the number pattern of 378.

 

  • 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 378 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, and 378 are the divisors of 378.

 

  • LCM (Least Common Multiple): This is the smallest multiple that two or more numbers have in common. For example, the LCM of 7 and 378 is 378.
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