102 LearnersLast updated on May 26th, 2025
Multiples of 377
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 377.
What are the Multiples of 377?
Now, let us learn more about multiples of 377. Multiples of 377 are the numbers you get when you multiply 377 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 377 can be denoted as 377 × 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 377 × 1 will give us 377 as the product. Multiples of 377 will be larger or equal to 377.
List of First 20 Multiples of 377
Multiples of 377 include the products of 377 and an integer. Multiples of 377 are divisible by 377 evenly. The first few multiples of 377 are given below:
| TABLE OF 377 (1-10) | |
|---|---|
|
377 x 1 = 377 |
377 x 6 = 2262 |
|
377 x 2 = 754 |
377 x 7 = 2639 |
|
377 x 3 = 1131 |
377 x 8 = 3016 |
|
377 x 4 = 1508 |
377 x 9 = 3393 |
|
377 x 5 = 1885 |
377 x 10 = 3770 |
| TABLE OF 377 (11-20) | |
|---|---|
|
377 x 11 = 4147 |
377 x 16 = 6032 |
|
377 x 12 = 4524 |
377 x 17 = 6409 |
|
377 x 13 = 4901 |
377 x 18 = 6786 |
|
377 x 14 = 5278 |
377 x 19 = 7163 |
|
377 x 15 = 5655 |
377 x 20 = 7540 |
Now, we know the first few multiples of 377. They are 0, 377, 754, 1131, 1508, 1885, 2262, 2639, 3016, 3393, 3770,...
Operations with Multiples of 377
Understanding the multiples of 377 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 377, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 377:
377, 754, 1131, 1508, and 1885 are the first five multiples of 377. When multiplying 377 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
377 + 754 + 1131 + 1508 + 1885 = 5655
When we add the first 5 multiples of 377, the answer will be 5655.
Subtraction of first 5 Multiples of 377:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 377, 754, 1131, 1508, and 1885 are the first five multiples of 377. So, let us calculate it as given below:
377 - 754 = -377
-377 - 1131 = -1508
-1508 - 1508 = -3016
-3016 - 1885 = -4901
Hence, the result of subtracting the first 5 multiples of 377 is -4901.
Average of first 5 Multiples of 377:
To calculate the average, we need to identify the sum of the first 5 multiples of 377, 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 377 is 5655.
377 + 754 + 1131 + 1508 + 1885 = 5655
Next, divide the sum by 5:
5655 ÷ 5 = 1131
1131 is the average of the first 5 multiples of 377.
Product of First 5 Multiples of 377:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 377 include: 377, 754, 1131, 1508, and 1885. Now, the product of these numbers is:
377 × 754 × 1131 × 1508 × 1885 = 845,177,634,820
The product of the first 5 multiples of 377 is 845,177,634,820.
Division of First 5 Multiples of 377:
While we perform division, we get to know how many times 377 can fit into each of the given multiples. 377, 754, 1131, 1508, and 1885 are the first 5 multiples of 377.
377 ÷ 377 = 1
754 ÷ 377 = 2
1131 ÷ 377 = 3
1508 ÷ 377 = 4
1885 ÷ 377 = 5
The results of dividing the first 5 multiples of 377 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 377
While working with multiples of 377, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 377. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number. Multiples of 377 refer to the products we get while multiplying 377 with other numbers. For example, multiples of 377 include 0, 377, 754, 1131, 1508, 1885, 2262, 2639, 3016, 3393, 3770….
The factors of 377 are 1, 13, 29, and 377. When 377 is divided by 1, 13, 29, and 377, the remainder will be zero. These are the factors of 377 meaning that these numbers can divide 377 without any remainder.
Factors of 377:
377 ÷ 1 = 377
377 ÷ 13 = 29
377 ÷ 29 = 13
377 ÷ 377 = 1
Multiples of 377 Examples
Problem 1
A farmer wants to plant apple trees in his orchard. He decides to plant 377 trees each year. If he continues this pattern, how many apple trees will he have planted after 3 years?
1,131 apple trees
Explanation
Each year, he plants 377 apple trees. To find the total number of apple trees planted after 3 years, we multiply the number of trees planted each year by the number of years.
Trees planted each year = 377
Number of years = 3
377 × 3 = 1,131
The farmer will have planted 1,131 apple trees after 3 years.
Problem 2
In a factory, machines produce items in batches. The first machine produces items in batches of 377, the second in batches of 754, and the third in batches of 1,131. How many items do the three machines produce together in one batch?
2,262 items
Explanation
The number of items produced by each machine is based on the first three multiples of 377:
377 × 1 = 377
377 × 2 = 754
377 × 3 = 1,131
Adding these gives the total number of items produced by all three machines in one batch:
377 + 754 + 1,131 = 2,262
Therefore, the machines produce 2,262 items in one batch together.
Problem 3
A new housing development is being planned with several identical sections. Each section will have 377 houses. If there are 5 sections planned, how many houses will there be in total?
1,885 houses
Explanation
To find the total number of houses, we multiply the number of houses per section by the number of sections.
Number of houses per section = 377
Number of sections = 5
377 × 5 = 1,885
Therefore, there will be a total of 1,885 houses in the development.
Problem 4
A library is organizing its books into boxes. Each box can hold 377 books. If the library has 8 boxes, how many books can the library store in total?
3,016 books
Explanation
To find the total number of books the library can store, we multiply the number of books each box can hold by the number of boxes.
Books per box = 377
Number of boxes = 8
377 × 8 = 3,016
So, the library can store 3,016 books in total.
Problem 5
An art gallery is setting up a new exhibit. They plan to display 377 paintings in the first room, 754 paintings in the second room, and 1,131 paintings in the third room. How many paintings are there in total in the exhibit?
2,262 paintings
Explanation
The number of paintings in each room is based on the first three multiples of 377:
377 × 1 = 377
377 × 2 = 754
377 × 3 = 1,131
Adding these gives the total number of paintings in the exhibit:
377 + 754 + 1,131 = 2,262
Therefore, there are 2,262 paintings in the exhibit.
FAQs on Multiples of 377
1.How do you find the multiples of 377?
2.What is the LCM of 377 and 5?
3.What are the real-life applications of Multiples of 377?
4.Are multiples of 377 finite or infinite?
5.Is there any odd multiple of 377?
Important Glossaries for Multiples of 377
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 377 include 377, 754, 1131, 1508, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 377 are the numbers that consist of the number pattern of 377.
- Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Multiples of 377 can be odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 13, 29, and 377 are the divisors of 377.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by two or more numbers. For example, the LCM of 377 and 5 is 1885.
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