Table Of Contents

Table of Contents

149 Learners

Last updated on February 3rd, 2025

Multiples of 90

Q: How do you find the multiples of 90?

To find out the multiples of 90, we need to multiply 90 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 90. Multiples of 90 will be larger or equal to 90. 90 × 1 = 90 90 × 2 = 180 90 × 3 = 270 90 × 4 = 360 90 × 5 = 450

Q: What is the LCM of 5 and 90?

LCM of 5 and 90 is 90. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 5 and 90 using the listing method, we need to list the multiples of both 5 and 90. Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50,… Multiples of 90 are 90, 180, 270, 360, 450, 540, 630, 720,… Here, the smallest common number that appears in both lists is 90. LCM of 5 and 90 = 90.

Q: What are the real-life applications of Multiples of 90?

Multiples of 90 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 90 finite or infinite?

All the multiples of 90 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 90. When we calculate 90 × n, if the integer ‘n’ goes on forever, the multiples of 90 also become infinite.

Q: Is there any odd multiple of 90?

No, there are no odd numbers in the multiples of 90. Because 90 is an even number. If we multiply any even number by any number, we will get an even number as the product. For example, 90 × 1 = 90 90 × 2 = 180 90 × 3 = 270 90 × 4 = 360 90 × 5 = 450

Professor Greenline Explaining Math Concepts

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 90.

What are the Multiples of 90?

Now, let us learn more about multiples of 90. Multiples of 90 are the numbers you get when you multiply 90 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 90 can be denoted as 90 × 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 90 × 1 will give us 90 as the product. Multiples of 90 will be larger or equal to 90.

$multiples of 90$

List of First 20 Multiples of 90

Multiples of 90 include the products of 90 and an integer. Multiples of 90 are divisible by 90 evenly. The first few multiples of 90 are given below:

TABLE OF 90 (1-10)
90 x 1 = 90	90 x 6 = 540
90 x 2 = 180	90 x 7 = 630
90 x 3 = 270	90 x 8 = 720
90 x 4 = 360	90 x 9 = 810
90 x 5 = 450	90 x 10 = 900

TABLE OF 90 (11-20)
90 x 11 = 990	90 x 16 = 1440
90 x 12 = 1080	90 x 17 = 1530
90 x 13 = 1170	90 x 18 = 1620
90 x 14 = 1260	90 x 19 = 1710
90 x 15 = 1350	90 x 20 = 1800

Operations with Multiples of 90

Understanding the multiples of 90 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 90, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 Multiples of 90:

90, 180, 270, 360, and 450 are the first five multiples of 90. When multiplying 90 from 1 to 5, we get these numbers as the products.

So, the sum of these multiples is:

90 + 180 + 270 + 360 + 450 = 1350

When we add the first 5 multiples of 90, the answer will be 1350.

Subtraction of first 5 Multiples of 90:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 90, 180, 270, 360, and 450 are the first five multiples of 90. So, let us calculate it as given below:

90 - 180 = -90
-90 - 270 = -360
-360 - 360 = -720
-720 - 450 = -1170

Hence, the result of subtracting the first 5 multiples of 90 is -1170.

Average of first 5 Multiples of 90:

To calculate the average, we need to identify the sum of the first 5 multiples of 90 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 90 is 1350.

90 + 180 + 270 + 360 + 450 = 1350

Next, divide the sum by 5:

1350 ÷ 5 = 270

270 is the average of the first 5 multiples of 90.

Product of First 5 Multiples of 90:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 90 include: 90, 180, 270, 360, and 450. Now, the product of these numbers is:

90 × 180 × 270 × 360 × 450 = 2,976,072,000,000

The product of the first 5 multiples of 90 is 2,976,072,000,000.

Division of First 5 Multiples of 90:

While we perform division, we get to know how many times 90 can fit into each of the given multiples. 90, 180, 270, 360, and 450 are the first 5 multiples of 90.

90 ÷ 90 = 1
180 ÷ 90 = 2
270 ÷ 90 = 3
360 ÷ 90 = 4
450 ÷ 90 = 5

The results of dividing the first 5 multiples of 90 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 90

Multiples of 90 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Alex runs a bakery where he sells cakes in batches. Each batch contains 90 cakes. If he bakes 90 cakes every day for a month of 30 days, how many cakes will he have baked by the end of the month?

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

Explanation

Problem 2

A concert hall has rows of seats that can accommodate 90 people per row. If the first three rows are filled with people, how many people are seated in total?

Explanation

Problem 3

A production company makes 90 movie posters per day. If they work for 8 days, how many posters will they produce in total?

Explanation

Problem 4

An art exhibition displays sculptures in groups. Each group contains 90 sculptures. If there are 5 such groups, how many sculptures are displayed in total?

Explanation

Problem 5

In a library, there are three sections. The first section contains 90 books, the second section contains 180 books, and the third section contains 270 books. How many books are there in total in all three sections?

Explanation

FAQs on Multiples of 90

1.How do you find the multiples of 90?

2.What is the LCM of 5 and 90?

3. What are the real-life applications of Multiples of 90?

4.Are multiples of 90 finite or infinite?

5.Is there any odd multiple of 90?

Important Glossaries for Multiples of 90

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 90 include 90, 180, 270, 360, etc.

Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 90 are the numbers that consist of the number pattern of 90.

Even number: An even number refers to any number that can be divided by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 90 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, 9, 10, 15, 18, 30, 45, and 90 are the divisors of 90.

LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 5 and 90 is 90.

Explore More multiplication-tables

$Math Teacher Image$

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.