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Last updated on March 29th, 2025

Multiples of 360

Q: How do you find the multiples of 360?

To find out the multiples of 360, we need to multiply 360 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 360. Multiples of 360 will be larger or equal to 360. 360 × 1 = 360 360 × 2 = 720 360 × 3 = 1080 360 × 4 = 1440 360 × 5 = 1800

Q: What is the LCM of 6 and 360?

LCM of 6 and 360 is 360. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 6 and 360 using the listing method, we need to list the multiples of both 6 and 360. Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... Multiples of 360 are 360, 720, 1080, 1440, 1800, 2160, ... Here, the smallest common number that appears in both lists is 360. LCM of 6 and 360 = 360.

Q: What are the real-life applications of Multiples of 360?

Multiples of 360 can be helpful in various real-life situations. We can use it for time calculations in degrees (such as angles in geometry), arranging items in circles or cycles, and setting up events in cycles.

Q: Are multiples of 360 finite or infinite?

All the multiples of 360 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 360. When we calculate 360 × n, if the integer ‘n’ goes on forever, the multiples of 360 also become infinite.

Q: Is there any odd multiple of 360?

No, there are no odd numbers in the multiples of 360. Because 360 is an even number. If we multiply any even number by any number, the result will be an even number. For example, 360 × 1 = 360 360 × 2 = 720 360 × 3 = 1080 360 × 4 = 1440 360 × 5 = 1800

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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 360.

What are the Multiples of 360?

Now, let us learn more about multiples of 360. Multiples of 360 are the numbers you get when you multiply 360 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 360 can be denoted as 360 × 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 360 × 1 will give us 360 as the product. Multiples of 360 will be larger or equal to 360. $multiples of 360$

List of First 20 Multiples of 360

Multiples of 360 include the products of 360 and an integer. Multiples of 360 are divisible by 360 evenly. The first few multiples of 360 are given below:

TABLE OF 360 (1-10)
360 x 1 = 360	360 x 6 = 2160
360 x 2 = 720	360 x 7 = 2520
360 x 3 = 1080	360 x 8 = 2880
360 x 4 = 1440	360 x 9 = 3240
360 x 5 = 1800	360 x 10 = 3600

TABLE OF 360 (11-20)
360 x 11 = 3960	360 x 16 = 5760
360 x 12 = 4320	360 x 17 = 6120
360 x 13 = 4680	360 x 18 = 6480
360 x 14 = 5040	360 x 19 = 6840
360 x 15 = 5400	360 x 20 = 7200

Now, we know the first few multiples of 360. They are 0, 360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240, 3600,...

Operations with Multiples of 360

Understanding the multiples of 360 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 360, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 Multiples of 360:

360, 720, 1080, 1440, and 1800 are the first five multiples of 360. When multiplying 360 from 1 to 5, we get these numbers as the products.

So, the sum of these multiples is:

360 + 720 + 1080 + 1440 + 1800 = 5400

When we add the first 5 multiples of 360, the answer will be 5400.

Subtraction of first 5 Multiples of 360:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 360, 720, 1080, 1440, and 1800 are the first five multiples of 360. So, let us calculate it as given below:

360 - 720 = -360
-360 - 1080 = -1440
-1440 - 1440 = -2880
-2880 - 1800 = -4680

Hence, the result of subtracting the first 5 multiples of 360 is -4680.

Average of first 5 Multiples of 360:

To calculate the average, we need to identify the sum of the first 5 multiples of 360 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 360 is 5400.

360 + 720 + 1080 + 1440 + 1800 = 5400

Next, divide the sum by 5:

5400 ÷ 5 = 1080

1080 is the average of the first 5 multiples of 360.

Product of First 5 Multiples of 360:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 360 include: 360, 720, 1080, 1440, and 1800. Now, the product of these numbers is:

360 × 720 × 1080 × 1440 × 1800 = 3,670,041,600,000,000

The product of the first 5 multiples of 360 is

3,670,041,600,000,000.

Division of First 5 Multiples of 360:

While we perform division, we get to know how many times 360 can fit into each of the given multiples. 360, 720, 1080, 1440, and 1800 are the first 5 multiples of 360.

360 ÷ 360 = 1
720 ÷ 360 = 2
1080 ÷ 360 = 3
1440 ÷ 360 = 4
1800 ÷ 360 = 5

The results of dividing the first 5 multiples of 360 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 360

Multiples of 360 Examples

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Problem 1

Amara is setting up a rotating art exhibit. Each exhibit rotates every 360 days. If she plans to rotate exhibits for 5 years, how many rotations will she have completed by the end of that period?

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

Explanation

Problem 2

A carousel in a theme park makes a complete circle every 360 seconds. If the carousel runs continuously for 6 hours, how many complete circles will it make?

Explanation

Problem 3

A digital clock shows the time in a cycle of 360 minutes, after which it resets. If you start observing the clock at 12:00, how many complete cycles will it have gone through by 8:00 PM?

Explanation

Problem 4

In a board game, each player moves their piece in steps of 360 spaces. If a player starts at the beginning and moves 7 times, how far will they have moved on the board?

Explanation

Problem 5

A film director is editing a movie with scenes lasting 360 frames each. If the entire movie is made up of 12 scenes, how many frames are there in total?

Explanation

FAQs on Multiples of 360

1.How do you find the multiples of 360?

2.What is the LCM of 6 and 360?

3.What are the real-life applications of Multiples of 360?

4.Are multiples of 360 finite or infinite?

5.Is there any odd multiple of 360?

Important Glossaries for Multiples of 360

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 360 include 360, 720, 1080, 1440, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 360 are the numbers that consist of the number pattern of 360.
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 360 are even numbers.
Divisor: It refers to any number by which another number can be divided without leaving any remainder. Factors of 360 include numbers like 1, 2, 3, 4, 5, 6, etc.
LCM (Least Common Multiple): The smallest multiple that is exactly divisible by two or more numbers. For example, the LCM of 6 and 360 is 360.

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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.