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Last updated on March 29th, 2025

Multiples of 14

Q: How do you find the multiples of 14?

To find out the multiples of 14, we need to multiply 14 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 14. Multiples of 14 will be larger or equal to 14. 14 × 1 = 14 14 × 2 = 28 14 × 3 = 42 14 × 4 = 56 14 × 5 = 70

Q: What is the LCM of 7 and 14?

LCM of 7 and 14 is 14. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 7 and 14 using the listing method, we need to list the multiples of both 7 and 14. Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,… Multiples of 14 are 14, 28, 42, 56, 70, 84,… Here, the smallest common number that appears in both lists is 14. LCM of 7 and 14 = 14.

Q: What are the real-life applications of Multiples of 14?

Multiples of 14 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 items into groups.

Q: Are multiples of 14 finite or infinite?

All the multiples of 14 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 14. When we calculate 14 × n, if the integer ‘n’ goes on forever, the multiples of 14 also become infinite.

Q: Is there any odd multiple of 14?

No, there are no odd numbers in the multiple of 14 because 14 is an even number. If we multiply any even number by any number, we will get an even number as the product. For example, 14 × 1 = 14 14 × 2 = 28 14 × 3 = 42 14 × 4 = 56 14 × 5 = 70

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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 14.

What are the Multiples of 14?

Now, let us learn more about multiples of 14. Multiples of 14 are the numbers you get when you multiply 14 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

In multiplication, a multiple of 14 can be denoted as 14 × 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 14 × 1 will give us 14 as the product. Multiples of 14 will be larger or equal to 14.

$Multiples of 14$

List of First 20 Multiples of 14

Multiples of 14 include the products of 14 and an integer. Multiples of 14 are divisible by 14 evenly. The first few multiples of 14 are given below:

TABLE OF 14 (1-10)
14 x 1 = 14	14 x 6 = 84
14 x 2 = 28	14 x 7 = 98
14 x 3 = 42	14 x 8 = 112
14 x 4 = 56	14 x 9 = 126
14 x 5 = 70	14 x 10 = 140

TABLE OF 14 (11-20)
14 x 11 = 154	14 x 16 = 224
14 x 12 = 168	14 x 17 = 238
14 x 13 = 182	14 x 18 = 252
14 x 14 = 196	14 x 19 = 266
14 x 15 = 210	14 x 20 = 280

Now, we know the first few multiples of 14. They are, 0, 14, 28, 42, 56, 70, 84, 98, 112, 126, 140,...

Operations with Multiples of 14

Understanding the multiples of 14 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 14, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of First 5 Multiples of 14

14, 28, 42, 56, and 70 are the first five multiples of 14. When multiplying 14 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:

14 + 28 + 42 + 56 + 70 = 210

When we add the first 5 multiples of 14, the answer will be 210.

Subtraction of First 5 Multiples of 14

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 14, 28, 42, 56, and 70 are the first five multiples of 14. So, let us calculate it as given below:

14 - 28 = -14
-14 - 42 = -56
-56 - 56 = -112
-112 - 70 = -182

Hence, the result of subtracting the first 5 multiples of 14 is -182.

Average of First 5 Multiples of 14

To calculate the average, we need to identify the sum of the first 5 multiples of 14, 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 14 is 210.

14 + 28 + 42 + 56 + 70 = 210

Next, divide the sum by 5:

210 ÷ 5 = 42

42 is the average of the first 5 multiples of 14.

Product of First 5 Multiples of 14

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 14 include: 14, 28, 42, 56, and 70. Now, the product of these numbers is:

14 × 28 × 42 × 56 × 70 = 82,684,320

The product of the first 5 multiples of 14 is 82,684,320.

Division of First 5 Multiples of 14

While we perform division, we get to know how many times 14 can fit into each of the given multiples. 14, 28, 42, 56, and 70 are the first 5 multiples of 14.

14 ÷ 14 = 1
28 ÷ 14 = 2
42 ÷ 14 = 3
56 ÷ 14 = 4
70 ÷ 14 = 5

The results of dividing the first 5 multiples of 14 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 14

Multiples of 14 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Lily is organizing a set of paintings for an art exhibition. Each row in the gallery holds 14 paintings. If she organizes 5 rows of paintings, how many paintings are displayed in total?

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

Explanation

Problem 2

A gardener is planting fruit trees in a new orchard. He decides to plant them in sets of the first three multiples of 14. How many fruit trees does he plant in total?

Explanation

Problem 3

In a fitness class, there are 14 exercise stations. Each station is designed for 14 people. How many people can participate in the class at once?

Explanation

Problem 4

A toy company packs toy cars in boxes. Each box contains 7 shelves, and each shelf holds 14 toy cars. How many toy cars are there in one box?

Explanation

Problem 5

Sara is arranging her photo albums. The first album has 14 photos, the second has 28, and the third has 42 photos. How many photos are there in all three albums?

Explanation

FAQs on Multiples of 14

1.How do you find the multiples of 14?

2.What is the LCM of 7 and 14?

3.What are the real-life applications of Multiples of 14?

4.Are multiples of 14 finite or infinite?

5.Is there any odd multiple of 14?

Important Glossaries for Multiples of 14

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 14 include 14, 28, 42, 56, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 14 are the numbers that consist of the number pattern of 14.
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 14 are even numbers.
Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 7, and 14 are the divisors of 14.
Factor: A factor is a number that divides another number completely without leaving any remainder. For example, factors of 14 are 1, 2, 7, and 14.

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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.