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Last updated on February 11th, 2025

Multiples of 45

Q: How do you find the multiples of 45?

To find out the multiples of 45, we need to multiply 45 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 45. Multiples of 45 will be larger or equal to 45. 45 × 1 = 45 45 × 2 = 90 45 × 3 = 135 45 × 4 = 180 45 × 5 = 225

Q: What is the LCM of 5 and 9?

LCM of 5 and 9 is 45. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 5 and 9 using the listing method, we need to list the multiples of both 5 and 9. Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50,… Multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72,… Here, the smallest common number that appears in both lists is 45. LCM of 5 and 9 = 45.

Q: What are the real-life applications of Multiples of 45?

Multiples of 45 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 45 finite or infinite?

All the multiples of 45 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 45. When we calculate 45 × n, if the integer ‘n’ goes on forever, the multiples of 45 also become infinite.

Q: Is there any odd multiples of 45?

Yes, there are odd numbers in the multiples of 45. While 45 itself is odd, when it is multiplied with even numbers, it results in even multiples, and with odd numbers, it results in odd multiples. For example, 45 × 1 = 45 45 × 2 = 90 45 × 3 = 135 45 × 4 = 180 45 × 5 = 225

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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 45.

What are the Multiples of 45?

Now, let us learn more about multiples of 45. Multiples of 45 are the numbers you get when you multiply 45 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 45 can be denoted as 45 × 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 45 × 1 will give us 45 as the product. Multiples of 45 will be larger or equal to 45. $Multiples of 45$

List of First 20 Multiples of 45

Multiples of 45 include the products of 45 and an integer. Multiples of 45 are divisible by 45 evenly. The first few multiples of 45 are given below:

TABLE OF 45 (1-10)
45 x 1 = 45	45 x 6 = 270
45 x 2 = 90	45 x 7 = 315
45 x 3 = 135	45 x 8 = 360
45 x 4 = 180	45 x 9 = 405
45 x 5 = 225	45 x 10 = 450

TABLE OF 45 (11-20)
45 x 11 = 495	45 x 16 = 720
45 x 12 = 540	45 x 17 = 765
45 x 13 = 585	45 x 18 = 810
45 x 14 = 630	45 x 19 = 855
45 x 15 = 675	45 x 20 = 900

Now, we know the first few multiples of 45. They are 0, 45, 90, 135, 180, 225, 270, 315, 360, 405, 450,...

Operations with Multiples of 45

Understanding the multiples of 45 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 45, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of First 5 Multiples of 45:

45, 90, 135, 180, and 225 are the first five multiples of 45. When multiplying 45 from 1 to 5 we get these numbers as the products.

So, the sum of these multiples is:

45 + 90 + 135 + 180 + 225 = 675

When we add the first 5 multiples of 45 the answer will be 675.

Subtraction of First 5 Multiples of 45:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 45, 90, 135, 180, and 225 are the first five multiples of 45. So, let us calculate it as given below:

45 - 90 = -45
-45 - 135 = -180
-180 - 180 = -360
-360 - 225 = -585

Hence, the result of subtracting the first 5 multiples of 45 is -585.

Average of First 5 Multiples of 45:

To calculate the average, we need to identify the sum of the first 5 multiples of 45, 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 45 is 675.

45 + 90 + 135 + 180 + 225 = 675

Next, divide the sum by 5:

675 ÷ 5 = 135

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

Product of First 5 Multiples of 45:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 45 include: 45, 90, 135, 180, and 225. Now, the product of these numbers is:

45 × 90 × 135 × 180 × 225 = 2,059,031,250

The product of the first 5 multiples of 45 is 2,059,031,250.

Division of First 5 Multiples of 45:

While we perform division, we get to know how many times 45 can fit into each of the given multiples. 45, 90, 135, 180, and 225 are the first 5 multiples of 45.

45 ÷ 45 = 1
90 ÷ 45 = 2
135 ÷ 45 = 3
180 ÷ 45 = 4
225 ÷ 45 = 5

The results of dividing the first 5 multiples of 45 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 45

Multiples of 45 Examples

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Problem 1

In a recycling drive, a group of volunteers collects bags of plastic bottles. Each volunteer collects 45 bags of bottles every week. If the group consists of 6 volunteers, how many bags of bottles will they have collected in total after 5 weeks?

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

Explanation

Problem 2

A farm produces crates of apples, with each crate containing 45 apples. If the farm produces apples following the first three multiples of 45 over three consecutive days, how many apples are produced each day?

Explanation

Problem 3

In a school art project, students are making clay sculptures. Each class has 45 students, and the school has 7 classes. How many sculptures are made in total?

Explanation

Problem 4

Jessica is arranging her stamp collection. She has 9 albums, and each album holds 45 stamps. How many stamps does she have in total?

Explanation

Problem 5

A concert hall is set up with seating in rows. The first row has 45 seats, the second row has 90 seats, and the third row has 135 seats. How many seats are there in total across these three rows?

Explanation

FAQs on Multiples of 45

1.How do you find the multiples of 45?

2.What is the LCM of 5 and 9?

3.What are the real-life applications of Multiples of 45?

4.Are multiples of 45 finite or infinite?

5.Is there any odd multiples of 45?

Important Glossaries for Multiples of 45

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 45 include 45, 90, 135, 180, etc.
Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 45 are the numbers that consist of the number pattern of 45.
Odd Number: An odd number is a number that cannot be evenly divided by 2. The multiples of 45 include both odd and even numbers.
Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 5, 9, 15, and 45 are the divisors of 45.
LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 5 and 9 is 45.

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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.