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Last updated on March 29th, 2025

Multiples of 30

Q: How do you find the multiples of 30?

To find out the multiples of 30, we need to multiply 30 by any natural number. Natural numbers include 1, 2, 3,... etc. The results will be multiples of 30. Multiples of 30 will be larger or equal to 30. 30 × 1 = 30 30 × 2 = 60 30 × 3 = 90 30 × 4 = 120 30 × 5 = 150

Q: What is the LCM of 5 and 30?

LCM of 5 and 30 is 30. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 5 and 30 using the listing method, we need to list the multiples of both 5 and 30. Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50,… Multiples of 30 are 30, 60, 90, 120, 150, 180,… Here, the smallest common number that appears in both lists is 30. LCM of 5 and 30 = 30.

Q: What are the real-life applications of Multiples of 30?

Multiples of 30 can be helpful in various real-life situations. We can use them for calculating time intervals, packaging items in groups of 30, or planning events that require equal distribution of resources.

Q: Are multiples of 30 finite or infinite?

All the multiples of 30 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 30. When we calculate 30 × n, if the integer ‘n’ goes on forever, the multiples of 30 also become infinite.

Q: Is there any odd multiples of 30?

No, there are no odd numbers in the multiples of 30. Because 30 is an even number. If we multiply any even number by any integer, we will get an even number as the product. For example, 30 × 1 = 30 30 × 2 = 60 30 × 3 = 90 30 × 4 = 120 30 × 5 = 150

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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 30.

What are the Multiples of 30?

Now, let us learn more about multiples of 30. Multiples of 30 are the numbers you get when you multiply 30 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 30 can be denoted as 30 × 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 30 × 1 will give us 30 as the product. Multiples of 30 will be larger or equal to 30. $Multiples of 30$

List of First 20 Multiples of 30

Multiples of 30 include the products of 30 and an integer. Multiples of 30 are divisible by 30 evenly. The first few multiples of 30 are given below:

TABLE OF 30 (1-10)
30 x 1 = 30	30 x 6 = 180
30 x 2 = 60	30 x 7 = 210
30 x 3 = 90	30 x 8 = 240
30 x 4 = 120	30 x 9 = 270
30 x 5 = 150	30 x 10 = 300

TABLE OF 30 (11-20)
30 x 11 = 330	30 x 16 = 480
30 x 12 = 360	30 x 17 = 510
30 x 13 = 390	30 x 18 = 540
30 x 14 = 420	30 x 19 = 570
30 x 15 = 450	30 x 20 = 600

Now, we know the first few multiples of 30. They are 0, 30, 60, 90, 120, 150, 180, 210, 240, 270, 300,...

Operations with Multiples of 30

Understanding the multiples of 30 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 30, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 Multiples of 30:

30, 60, 90, 120, and 150 are the first five multiples of 30. When multiplying 30 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:

30 + 60 + 90 + 120 + 150 = 450

When we add the first 5 multiples of 30, the answer will be 450.

Subtraction of first 5 Multiples of 30:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 30, 60, 90, 120, and 150 are the first five multiples of 30. So, let us calculate it as given below:

30 - 60 = -30
-30 - 90 = -120
-120 - 120 = -240
-240 - 150 = -390

Hence, the result of subtracting the first 5 multiples of 30 is -390.

Average of first 5 Multiples of 30:

To calculate the average, we need to identify the sum of the first 5 multiples of 30, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 30 is 450.

30 + 60 + 90 + 120 + 150 = 450

Next, divide the sum by 5:

450 ÷ 5 = 90

90 is the average of the first 5 multiples of 30.

Product of First 5 Multiples of 30:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 30 include: 30, 60, 90, 120, and 150. Now, the product of these numbers is:

30 × 60 × 90 × 120 × 150 = 29,160,000,000

The product of the first 5 multiples of 30 is 29,160,000,000.

Division of First 5 Multiples of 30:

While we perform division, we get to know how many times 30 can fit into each of the given multiples. 30, 60, 90, 120, and 150 are the first 5 multiples of 30.

30 ÷ 30 = 1
60 ÷ 30 = 2
90 ÷ 30 = 3
120 ÷ 30 = 4
150 ÷ 30 = 5

The results of dividing the first 5 multiples of 30 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 30

Multiples of 30 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Sophia is organizing a charity event where each ticket costs $30. If she sells tickets every week and sells 30 tickets each week, how much money will she have collected after 5 weeks?

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

Explanation

Problem 2

At a car dealership, every batch of cars delivered contains 30 vehicles. If the first three batches have been delivered, how many cars have been received in total?

Explanation

Problem 3

A bakery produces boxes of cookies in batches of 30. If they have 30 boxes on each shelf and there are 4 shelves, how many boxes of cookies are there in total in the bakery?

Explanation

Problem 4

Emma is collecting stamps. She organizes them in albums, with each album holding 5 pages, and each page holding 30 stamps. How many stamps does she have in total if all albums are full?

Explanation

Problem 5

Daniel is setting up chairs for a conference. He has 30 chairs in the first row, 60 in the second, and 90 in the third. How many chairs are there in total?

Explanation

FAQs on Multiples of 30

1.How do you find the multiples of 30?

2.What is the LCM of 5 and 30?

3.What are the real-life applications of Multiples of 30?

4.Are multiples of 30 finite or infinite?

5.Is there any odd multiples of 30?

Important Glossaries for Multiples of 30

Multiple: A multiple represents the product of a number that is multiplied by an integer. For example, multiples of 30 include 30, 60, 90, 120, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 30 are the numbers that consist of the number pattern of 30.
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 30 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, 10, 15, and 30 are the divisors of 30.
LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each number of a set. For example, the LCM of 5 and 30 is 30.

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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.