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Last updated on March 29th, 2025

Multiples of 15

Q: How do you find the multiples of 15?

To find out the multiples of 15, we need to multiply 15 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 15. Multiples of 15 will be larger or equal to 15. 15 × 1 = 15 15 × 2 = 30 15 × 3 = 45 15 × 4 = 60 15 × 5 = 75

Q: What is the LCM of 5 and 15?

LCM of 5 and 15 is 15. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 5 and 15 using the listing method, we need to list the multiples of both 5 and 15. Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50,… Multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135,… Here, the smallest common number that appears in both lists is 15. LCM of 5 and 15 = 15.

Q: What are the real-life applications of Multiples of 15?

Multiples of 15 can be helpful in various real-life situations. We can use it for calculating the price of items, evaluating the value of multiple items, and organizing a number into groups.

Q: Are multiples of 15 finite or infinite?

All the multiples of 15 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 15. When we calculate 15 × n, if the integer ‘n’ goes on forever, the multiples of 15 also become infinite.

Q: Is there any odd multiple of 15?

Yes, there are odd numbers in the multiples of 15. Because 15 is a product of an even number (2) and an odd number (7), its multiples can be odd. For example: 15 × 1 = 15 15 × 3 = 45 15 × 5 = 75

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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 15.

What are the Multiples of 15?

Now, let us learn more about multiples of 15. Multiples of 15 are the numbers you get when you multiply 15 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 15 can be denoted as 15 × 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 15 × 1 will give us 15 as the product. Multiples of 15 will be larger or equal to 15.

$Multiples of 15$

List of First 20 Multiples of 15

Multiples of 15 include the products of 15 and an integer. Multiples of 15 are divisible by 15 evenly. The first few multiples of 15 are given below:

TABLE OF 15 (1-10)
15 x 1 = 15	15 x 6 = 90
15 x 2 = 30	15 x 7 = 105
15 x 3 = 45	15 x 8 = 120
15 x 4 = 60	15 x 9 = 135
15 x 5 = 75	15 x 10 = 150

TABLE OF 15 (11-20)
15 x 11 = 165	15 x 16 = 240
15 x 12 = 180	15 x 17 = 255
15 x 13 = 195	15 x 18 = 270
15 x 14 = 210	15 x 19 = 285
15 x 15 = 225	15 x 20 = 300

Now, we know the first few multiples of 15. They are 0, 15, 30, 45, 60, 75, 90, 105, 120, 135, 150,...

Operations with Multiples of 15

Understanding the multiples of 15 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 15, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 multiples of 15:

15, 30, 45, 60, and 75 are the first five multiples of 15. When multiplying 15 from 1 to 5 we get these numbers as the products.

So, the sum of these multiples is:

15 + 30 + 45 + 60 + 75 = 225

When we add the first 5 multiples of 15, the answer will be 225.

Subtraction of first 5 multiples of 15:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 15, 30, 45, 60, and 75 are the first five multiples of 15. So, let us calculate it as given below:

15 - 30 = -15
-15 - 45 = -60
-60 - 60 = -120
-120 - 75 = -195

Hence, the result of subtracting the first 5 multiples of 15 is -195.

Average of first 5 multiples of 15:

To calculate the average, we need to identify the sum of the first 5 multiples of 15, 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 15 is 225.

15 + 30 + 45 + 60 + 75 = 225

Next, divide the sum by 5:

225 ÷ 5 = 45

45 is the average of the first 5 multiples of 15.

Product of First 5 Multiples of 15:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 15 include: 15, 30, 45, 60, and 75. Now, the product of these numbers is:

15 × 30 × 45 × 60 × 75 = 45,562,500

The product of the first 5 multiples of 15 is 45,562,500.

Division of First 5 Multiples of 15:

While we perform division, we get to know how many times 15 can fit into each of the given multiples. 15, 30, 45, 60, and 75 are the first 5 multiples of 15.

15 ÷ 15 = 1
30 ÷ 15 = 2
45 ÷ 15 = 3
60 ÷ 15 = 4
75 ÷ 15 = 5

The results of dividing the first 5 multiples of 15 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 15

Multiples of 15 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

A farmer is planting trees in his orchard. He plants 15 trees in each row. If he continues planting rows of 15 trees for 5 weeks, how many trees will he have planted in total?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

In a small community event, there are three different booths, and each booth has a set of prizes based on the first three multiples of 15. How many prizes does each booth offer?

Explanation

Problem 3

In a school sports event, there are 15 teams participating. If each team has 15 players, how many players are there in total?

Explanation

Problem 4

Emily is organizing a charity bake sale. She has baked 5 batches of cookies, with each batch containing 15 cookies. How many cookies does she have in total for the sale?

Explanation

Problem 5

David is arranging chairs for a conference. He places 15 chairs in the first row, 30 chairs in the second row, and 45 chairs in the third row. How many chairs are there in total?

Explanation

FAQs on Multiples of 15

1.How do you find the multiples of 15?

2.What is the LCM of 5 and 15?

3.What are the real-life applications of Multiples of 15?

4.Are multiples of 15 finite or infinite?

5.Is there any odd multiple of 15?

Important Glossaries for Multiples of 15

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 15 include 15, 30, 45, 60, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 15 are the numbers that consist of the number pattern of 15.
Divisible: A number is divisible by another if it can be divided without leaving any remainder. All multiples of 15 are divisible by 15.
Least Common Multiple (LCM): The smallest multiple that is exactly divisible by two or more numbers. For example, the LCM of 5 and 15 is 15.
Factor: A factor represents a number that divides another number without leaving a remainder. For example, 1, 3, 5, and 15 are factors of 15.

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Seyed Ali Fathima S

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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.