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Last updated on February 11th, 2025

Multiples of 37

Q: How do you find the multiples of 37?

To find the multiples of 37, we need to multiply 37 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 37. Multiples of 37 will be larger or equal to 37. 37 × 1 = 37 37 × 2 = 74 37 × 3 = 111 37 × 4 = 148 37 × 5 = 185

Q: What is the LCM of 7 and 37?

LCM of 7 and 37 is 259. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 7 and 37 using the listing method, we need to list the multiples of both 7 and 37. Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,… Multiples of 37 are 37, 74, 111, 148, 185, 222, 259, 296, 333,… Here, the smallest common number that appears in both lists is 259. LCM of 7 and 37 = 259.

Q: What are the real-life applications of Multiples of 37?

Multiples of 37 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 37 finite or infinite?

All the multiples of 37 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 37. When we calculate 37 × n, if the integer ‘n’ goes on forever, the multiples of 37 also become infinite.

Q: Is there any odd multiples of 37?

Yes, there are odd numbers in the multiples of 37. Because 37 is an odd number. If we multiply any odd number by any odd integer, we will get an odd number as the product. For example, 37 × 1 = 37 37 × 3 = 111 37 × 5 = 185

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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 37.

What are the Multiples of 37?

Now, let us learn more about multiples of 37. Multiples of 37 are the numbers you get when you multiply 37 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

In multiplication, a multiple of 37 can be denoted as 37 × 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 37 × 1 will give us 37 as the product. Multiples of 37 will be larger or equal to 37. $Multiples of 37$

List of First 20 Multiples of 37

Multiples of 37 include the products of 37 and an integer. Multiples of 37 are divisible by 37 evenly. The first few multiples of 37 are given below:

TABLE OF 37 (1-10)
37 x 1 = 37	37 x 6 = 222
37 x 2 = 74	37 x 7 = 259
37 x 3 = 111	37 x 8 = 296
37 x 4 = 148	37 x 9 = 333
37 x 5 = 185	37 x 10 = 370

TABLE OF 37 (11-20)
37 x 11 = 407	37 x 16 = 592
37 x 12 = 444	37 x 17 = 629
37 x 13 = 481	37 x 18 = 666
37 x 14 = 518	37 x 19 = 703
37 x 15 = 555	37 x 20 = 740

Now, we know the first few multiples of 37. They are 0, 37, 74, 111, 148, 185, 222, 259, 296, 333, 370,...

Operations with Multiples of 37

Understanding the multiples of 37 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 37, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 Multiples of 37:

37, 74, 111, 148, and 185 are the first five multiples of 37. When multiplying 37 from 1 to 5, we get these numbers as the products.

So, the sum of these multiples is:

37 + 74 + 111 + 148 + 185 = 555

When we add the first 5 multiples of 37, the answer will be 555.

Subtraction of first 5 Multiples of 37:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 37, 74, 111, 148, and 185 are the first five multiples of 37. So, let us calculate it as given below:

37 - 74 = -37
-37 - 111 = -148
-148 - 148 = -296
-296 - 185 = -481

Hence, the result of subtracting the first 5 multiples of 37 is -481.

Average of first 5 Multiples of 37:

To calculate the average, we need to identify the sum of the first 5 multiples of 37, 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 37 is 555.

37 + 74 + 111 + 148 + 185 = 555

Next, divide the sum by 5:

555 ÷ 5 = 111

111 is the average of the first 5 multiples of 37.

Product of First 5 Multiples of 37:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 37 include 37, 74, 111, 148, and 185. Now, the product of these numbers is:

37 × 74 × 111 × 148 × 185 = 81,496,020

The product of the first 5 multiples of 37 is 81,496,020.

Division of First 5 Multiples of 37:

While we perform division, we get to know how many times 37 can fit into each of the given multiples. 37, 74, 111, 148, and 185 are the first 5 multiples of 37.

37 ÷ 37 = 1
74 ÷ 37 = 2
111 ÷ 37 = 3
148 ÷ 37 = 4
185 ÷ 37 = 5

The results of dividing the first 5 multiples of 37 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 37

Multiples of 37 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Tina's bakery sells cupcakes in boxes, with each box containing 37 cupcakes. Over the course of a week, they sell cupcakes in complete boxes. How many cupcakes do they sell if they sell 5 boxes in a week?

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

Explanation

Problem 2

In a science experiment, three students are collecting water samples in the following order: the first collects 37 samples, the second collects twice that amount, and the third collects three times the initial amount. How many samples do they collect in total?

Explanation

Problem 3

A local art exhibition has 37 paintings. If each visitor to the exhibition views exactly 37 paintings, how many paintings are viewed in total by 8 visitors?

Explanation

Problem 4

In an orchard, there are rows of apple trees. Each row contains 37 trees. If there are 6 rows, how many apple trees are there in total?

Explanation

Problem 5

A warehouse has crates containing 37 items each. If the first section of the warehouse has 37 crates, the second section has 74 crates, and the third section has 111 crates, how many items are there in total?

Explanation

FAQs on Multiples of 37

1.How do you find the multiples of 37?

2.What is the LCM of 7 and 37?

3.What are the real-life applications of Multiples of 37?

4.Are multiples of 37 finite or infinite?

5.Is there any odd multiples of 37?

Important Glossaries for Multiples of 37

Multiple: A multiple represents the product of a number that has been multiplied by an integer. For example, multiples of 37 include 37, 74, 111, 148, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 37 are the numbers that consist of the number pattern of 37.
Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 37 are odd numbers.
Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 37 are the divisors of 37.
LCM (Least Common Multiple): The smallest multiple that is common between two or more numbers. For example, the LCM of 7 and 37 is 259.

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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.