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Last updated on March 29th, 2025

Multiples of 900

Q: How do you find the multiples of 900?

To find out the multiples of 900, we need to multiply 900 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 900. Multiples of 900 will be larger or equal to 900. 900 × 1 = 900 900 × 2 = 1800 900 × 3 = 2700 900 × 4 = 3600 900 × 5 = 4500

Q: What is the LCM of 900 and 1200?

LCM of 900 and 1200 is 3600. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 900 and 1200 using the listing method, we need to list the multiples of both 900 and 1200. Multiples of 900 are 900, 1800, 2700, 3600, 4500, 5400, 6300,… Multiples of 1200 are 1200, 2400, 3600, 4800, 6000, 7200,… Here, the smallest common number that appears in both lists is 3600. LCM of 900 and 1200 = 3600.

Q: What are the real-life applications of Multiples of 900?

Multiples of 900 can be helpful in various real-life situations. We can use it for calculating the price of bulk items, evaluating the value of multiple items in large quantities, and organizing large sets of data or resources.

Q: Are multiples of 900 finite or infinite?

All the multiples of 900 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 900. When we calculate 900 × n, if the integer ‘n’ goes on forever, the multiples of 900 also become infinite.

Q: Is there any odd multiple of 900?

No, there are no odd numbers in the multiple of 900. Because 900 is an even number. If we multiply any even number by any number, we will get an even number as the product. For example, 900 × 1 = 900 900 × 2 = 1800 900 × 3 = 2700 900 × 4 = 3600 900 × 5 = 4500

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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 900.

What are the Multiples of 900?

Now, let us learn more about multiples of 900. Multiples of 900 are the numbers you get when you multiply 900 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 900 can be denoted as 900 × 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 900 × 1 will give us 900 as the product. Multiples of 900 will be larger or equal to 900. $multiples of 900$

List of First 20 Multiples of 900

Multiples of 900 include the products of 900 and an integer. Multiples of 900 are divisible by 900 evenly. The first few multiples of 900 are given below:

TABLE OF 900 (1-10)
900 x 1 = 900	900 x 6 = 5400
900 x 2 = 1800	900 x 7 = 6300
900 x 3 = 2700	900 x 8 = 7200
900 x 4 = 3600	900 x 9 = 8100
900 x 5 = 4500	900 x 10 = 9000

TABLE OF 900 (11-20)
900 x 11 = 9900	900 x 16 = 14400
900 x 12 = 10800	900 x 17 = 15300
900 x 13 = 11700	900 x 18 = 16200
900 x 14 = 12600	900 x 19 = 17100
900 x 15 = 13500	900 x 20 = 18000

Now, we know the first few multiples of 900. They are 0, 900, 1800, 2700, 3600, 4500, 5400, 6300, 7200, 8100, 9000,...

Operations with Multiples of 900

Understanding the multiples of 900 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 900, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 Multiples of 900:

900, 1800, 2700, 3600, and 4500 are the first five multiples of 900. When multiplying 900 from 1 to 5, we get these numbers as the products.

So, the sum of these multiples is:

900 + 1800 + 2700 + 3600 + 4500 = 13500

When we add the first 5 multiples of 900, the answer will be 13500.

Subtraction of first 5 Multiples of 900:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 900, 1800, 2700, 3600, and 4500 are the first five multiples of 900. So, let us calculate it as given below:

900 - 1800 = -900
-900 - 2700 = -3600
-3600 - 3600 = -7200
-7200 - 4500 = -11700

Hence, the result of subtracting the first 5 multiples of 900 is

-11700.

Average of first 5 Multiples of 900:

To calculate the average, we need to identify the sum of the first 5 multiples of 900, 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 900 is 13500.

900 + 1800 + 2700 + 3600 + 4500 = 13500

Next, divide the sum by 5:

13500 ÷ 5 = 2700

2700 is the average of the first 5 multiples of 900.

Product of First 5 Multiples of 900:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 900 include: 900, 1800, 2700, 3600, and 4500. Now, the product of these numbers is:

900 × 1800 × 2700 × 3600 × 4500 = 116,640,000,000,000,000

The product of the first 5 multiples of 900 is

116,640,000,000,000,000.

Division of First 5 Multiples of 900:

While we perform division, we get to know how many times 900 can fit into each of the given multiples. 900, 1800, 2700, 3600, and 4500 are the first 5 multiples of 900.

900 ÷ 900 = 1
1800 ÷ 900 = 2
2700 ÷ 900 = 3
3600 ÷ 900 = 4
4500 ÷ 900 = 5

The results of dividing the first 5 multiples of 900 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 900

Multiples of 900 Examples

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Problem 1

A company produces custom-made tables. Each batch of tables produced by the company contains 900 tables. If the company completes 5 batches in a year, how many tables are produced in total by the end of the year?

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

Explanation

Problem 2

There is a large music festival that uses speakers capable of emitting sound up to 900 decibels. If the festival has 3 stages, each equipped with 900 decibel speakers, what is the total sound capacity when all stages operate at full capacity?

Explanation

Problem 3

A factory packages pencils into boxes, with each box containing 900 pencils. If an order requires 7 boxes to be shipped, how many pencils are needed to fulfill this order?

Explanation

Problem 4

A library organizes its books in sections, with each section accommodating exactly 900 books. How many books are in the library if there are 6 sections filled to capacity?

Explanation

Problem 5

A cargo ship is transporting large crates, with each crate weighing 900 kg. How much weight in kilograms is being transported if the ship carries 8 such crates?

Explanation

FAQs on Multiples of 900

1.How do you find the multiples of 900?

2.What is the LCM of 900 and 1200?

3.What are the real-life applications of Multiples of 900?

4.Are multiples of 900 finite or infinite?

5.Is there any odd multiple of 900?

Important Glossaries for Multiples of 900

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 900 include 900, 1800, 2700, 3600, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 900 are the numbers that consist of the number pattern of 900.
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 900 are even numbers.
Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 5, and many others are the divisors of 900.
LCM (Least Common Multiple): Refers to the smallest positive integer that is a multiple of two or more numbers.

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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.