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Last updated on March 30th, 2025

Multiples of 315

Q: How do you find the multiples of 315?

To find out the multiples of 315, we need to multiply 315 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 315. Multiples of 315 will be larger or equal to 315. 315 × 1 = 315 315 × 2 = 630 315 × 3 = 945 315 × 4 = 1260 315 × 5 = 1575

Q: What is the LCM of 21 and 315?

LCM of 21 and 315 is 315. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 21 and 315 using the listing method, we need to list the multiples of both 21 and 315. Multiples of 21 are 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315,... Multiples of 315 are 315, 630, 945, 1260,... Here, the smallest common number that appears in both lists is 315. LCM of 21 and 315 = 315.

Q: What are the real-life applications of Multiples of 315?

Multiples of 315 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 315 finite or infinite?

All the multiples of 315 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 315. When we calculate 315 × n, if the integer ‘n’ goes on forever, the multiples of 315 also become infinite.

Q: Are there any odd multiples of 315?

Yes, there are odd multiples of 315. Because 315 is an odd number, any multiple of it with an odd number will be odd. For example, 315 × 1 = 315 315 × 3 = 945 315 × 5 = 1575

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

In math, multiples are the products we get when 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 315.

What are the Multiples of 315?

Now, let us learn more about multiples of 315. Multiples of 315 are the numbers you get when you multiply 315 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 315 can be denoted as 315 × 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 315 × 1 will give us 315 as the product. Multiples of 315 will be larger or equal to 315.

$multiples of 315$

List of First 20 Multiples of 315

Multiples of 315 include the products of 315 and an integer. Multiples of 315 are divisible by 315 evenly. The first few multiples of 315 are given below:

TABLE OF 315 (1-10)
315 x 1 = 315	315 x 6 = 1890
315 x 2 = 630	315 x 7 = 2205
315 x 3 = 945	315 x 8 = 2520
315 x 4 = 1260	315 x 9 = 2835
315 x 5 = 1575	315 x 10 = 3150

TABLE OF 315 (11-20)
315 x 11 = 3465	315 x 16 = 5040
315 x 12 = 3780	315 x 17 = 5355
315 x 13 = 4095	315 x 18 = 5670
315 x 14 = 4410	315 x 19 = 5985
315 x 15 = 4725	315 x 20 = 6300

Now, we know the first few multiples of 315. They are 0, 315, 630, 945, 1260, 1575, 1890, 2205, 2520, 2835, 3150,...

Operations with Multiples of 315

Understanding the multiples of 315 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 315, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of First 5 Multiples of 315:

315, 630, 945, 1260, and 1575 are the first five multiples of 315. When multiplying 315 from 1 to 5, we get these numbers as the products.

So, the sum of these multiples is:

315 + 630 + 945 + 1260 + 1575 = 4725

When we add the first 5 multiples of 315, the answer will be 4725.

Subtraction of First 5 Multiples of 315:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 315, 630, 945, 1260, and 1575 are the first five multiples of 315. So, let us calculate it as given below:

315 - 630 = -315
-315 - 945 = -1260
-1260 - 1260 = -2520
-2520 - 1575 = -4095

Hence, the result of subtracting the first 5 multiples of 315 is -4095.

Average of First 5 Multiples of 315:

To calculate the average, we need to identify the sum of the first 5 multiples of 315, 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 315 is 4725.

315 + 630 + 945 + 1260 + 1575 = 4725

Next, divide the sum by 5:

4725 ÷ 5 = 945

945 is the average of the first 5 multiples of 315.

Product of First 5 Multiples of 315:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 315 include: 315, 630, 945, 1260, and 1575. Now, the product of these numbers is:

315 × 630 × 945 × 1260 × 1575 = 148,913,347,025,000

The product of the first 5 multiples of 315 is 148,913,347,025,000.

Division of First 5 Multiples of 315:

While we perform division, we get to know how many times 315 can fit into each of the given multiples. 315, 630, 945, 1260, and 1575 are the first 5 multiples of 315.

315 ÷ 315 = 1
630 ÷ 315 = 2
945 ÷ 315 = 3
1260 ÷ 315 = 4
1575 ÷ 315 = 5

The results of dividing the first 5 multiples of 315 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 315

Multiples of 315 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

A local art gallery hosts monthly exhibitions, and each exhibition features 315 paintings. If the gallery organizes exhibitions every month for 6 months, how many paintings are displayed in total during this period?

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

Explanation

Problem 2

A music festival schedules performances in multiples of 315 minutes throughout the day. The first performance lasts 315 minutes, the second lasts 630 minutes, and the third lasts 945 minutes. How many minutes of performances are there in total for these three performances?

Explanation

Problem 3

A factory produces 315 widgets every hour. If the factory operates for 8 hours in a day, how many widgets does it produce in a day?

Explanation

Problem 4

A farmer plants 315 seeds in each row of his field. If he plants 7 rows, how many seeds does he plant in total?

Explanation

Problem 5

A company packages its products in boxes containing 315 items each. If they ship out 5 such boxes, how many items are shipped in total?

Explanation

FAQs on Multiples of 315

1.How do you find the multiples of 315?

2.What is the LCM of 21 and 315?

3.What are the real-life applications of Multiples of 315?

4.Are multiples of 315 finite or infinite?

5.Are there any odd multiples of 315?

Important Glossaries for Multiples of 315

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 315 include 315, 630, 945, 1260, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 315 are the numbers that consist of the number pattern of 315.
Odd number: An odd number is any number that is not divisible by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 315 are odd.
Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, and 315 are the divisors of 315.
Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each of the numbers. For example, the LCM of 21 and 315 is 315.

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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.