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Last updated on March 28th, 2025

Multiples of 60

Q: How do you find the multiples of 60?

To find out the multiples of 60, we need to multiply 60 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 60. Multiples of 60 will be larger or equal to 60. 60 × 1 = 60 60 × 2 = 120 60 × 3 = 180 60 × 4 = 240 60 × 5 = 300

Q: What is the LCM of 5 and 60?

LCM of 5 and 60 is 60. LCM refers to the Least Common Multiple of two or more numbers. While finding the LCM of 5 and 60 using the listing method, we need to list the multiples of both 5 and 60. Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, … Multiples of 60 are 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, … Here, the smallest common number that appears in both lists is 60. LCM of 5 and 60 = 60.

Q: What are the real-life applications of Multiples of 60?

Multiples of 60 can be helpful in various real-life situations. We can use it for scheduling (since there are 60 minutes in an hour), timing events, and organizing resources into groups.

Q: Are multiples of 60 finite or infinite?

All the multiples of 60 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 60. When we calculate 60 × n, if the integer ‘n’ goes on forever, the multiples of 60 also become infinite.

Q: Is there any odd multiples of 60?

No, there are no odd numbers in the multiples of 60. Because 60 is an even number. If we multiply any even number by any number, we will get an even number as the product. For example, 60 × 1 = 60 60 × 2 = 120 60 × 3 = 180 60 × 4 = 240 60 × 5 = 300

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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 60.

What are the Multiples of 60?

Now, let us learn more about multiples of 60. Multiples of 60 are the numbers you get when you multiply 60 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 60 can be denoted as 60 × 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 60 × 1 will give us 60 as the product. Multiples of 60 will be larger or equal to 60.

$Multiples of 60$

List of First 20 Multiples of 60

Multiples of 60 include the products of 60 and an integer. Multiples of 60 are divisible by 60 evenly. The first few multiples of 60 are given below:

TABLE OF 60 (1-10)
60 x 1 = 60	60 x 6 = 360
60 x 2 = 120	60 x 7 = 420
60 x 3 = 180	60 x 8 = 480
60 x 4 = 240	60 x 9 = 540
60 x 5 = 300	60 x 10 = 600

TABLE OF 60 (11-20)
60 x 11 = 660	60 x 16 = 960
60 x 12 = 720	60 x 17 = 1020
60 x 13 = 780	60 x 18 = 1080
60 x 14 = 840	60 x 19 = 1140
60 x 15 = 900	60 x 20 = 1200

Operations with Multiples of 60

Understanding the multiples of 60 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 60, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of First 5 Multiples of 60:

60, 120, 180, 240, and 300 are the first five multiples of 60. When multiplying 60 from 1 to 5, we get these numbers as the products.

So, the sum of these multiples is:

60 + 120 + 180 + 240 + 300 = 900

When we add the first 5 multiples of 60, the answer will be 900.

Subtraction of First 5 Multiples of 60:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 60, 120, 180, 240, and 300 are the first five multiples of 60. So, let us calculate it as given below:

60 - 120 = -60
-60 - 180 = -240
-240 - 240 = -480
-480 - 300 = -780

Hence, the result of subtracting the first 5 multiples of 60 is -780.

Average of First 5 Multiples of 60:

To calculate the average, we need to identify the sum of the first 5 multiples of 60 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 60 is 900.

60 + 120 + 180 + 240 + 300 = 900

Next, divide the sum by 5:

900 ÷ 5 = 180

180 is the average of the first 5 multiples of 60.

Product of First 5 Multiples of 60:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 60 include: 60, 120, 180, 240, and 300. Now, the product of these numbers is:

60 × 120 × 180 × 240 × 300 = 93,312,000,000

The product of the first 5 multiples of 60 is 93,312,000,000.

Division of First 5 Multiples of 60:

While we perform division, we get to know how many times 60 can fit into each of the given multiples. 60, 120, 180, 240, and 300 are the first 5 multiples of 60.

60 ÷ 60 = 1
120 ÷ 60 = 2
180 ÷ 60 = 3
240 ÷ 60 = 4
300 ÷ 60 = 5

The results of dividing the first 5 multiples of 60 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 60

Multiples of 60 Examples

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Problem 1

A local orchestra is preparing for a concert series. They plan to have 60 musicians perform at each concert. If they hold 5 concerts in a month, how many musicians will have performed by the end of the month?

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

Explanation

Problem 2

A marathon organizer is planning water stations along the race route. Each station will be set up every 60 meters. If the race is 300 meters long, how many water stations will be needed?

Explanation

Problem 3

A film festival is showing a series of short films. Each film has a runtime of exactly 60 minutes. If there are 8 films being shown, what is the total runtime for all the films?

Explanation

Problem 4

A bakery is packaging cookies into boxes. Each box contains 60 cookies. If the bakery packages 7 boxes, how many cookies are there in total?

Explanation

Problem 5

A construction project requires beams that are 60 meters long. If a total length of 360 meters is needed, how many beams are required?

Explanation

FAQs on Multiples of 60

1.How do you find the multiples of 60?

2.What is the LCM of 5 and 60?

3.What are the real-life applications of Multiples of 60?

4.Are multiples of 60 finite or infinite?

5.Is there any odd multiples of 60?

Important Glossaries for Multiples of 60

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 60 include 60, 120, 180, 240, etc.

Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 60 are the numbers that consist of the number pattern of 60.

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 60 are even numbers.

Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60 are the divisors of 60.

Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each number in a set of numbers. For example, the LCM of 5 and 60 is 60.

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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.