Table Of Contents

Table of Contents

102 Learners

Last updated on March 29th, 2025

Multiples of 78

Q: How do you find the multiples of 78?

To find out the multiples of 78, we need to multiply 78 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 78. Multiples of 78 will be larger or equal to 78. 78 × 1 = 78 78 × 2 = 156 78 × 3 = 234 78 × 4 = 312 78 × 5 = 390

Q: What is the LCM of 7 and 78?

LCM of 7 and 78 is 546. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 7 and 78 using the listing method, we need to list the multiples of both 7 and 78. Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497, 504, 511, 518, 525, 532, 539, 546, 553, 560, 567, 574, 581, 588, 595, 602, 609, 616, 623, 630, 637, 644, 651, 658, 665, 672, 679, 686, 693, 700,... Multiples of 78 are 78, 156, 234, 312, 390, 468, 546, 624, 702, 780,... Here, the smallest common number that appears in both lists is 546. LCM of 7 and 78 = 546.

Q: What are the real-life applications of Multiples of 78?

Multiples of 78 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 78 finite or infinite?

All the multiples of 78 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 78. When we calculate 78 × n, if the integer ‘n’ goes on forever, the multiples of 78 also become infinite.

Q: Is there any odd multiple of 78?

No, there are no odd numbers in the multiples of 78. Because 78 is an even number, if we multiply any even number by any number, we will get an even number as the product. For example, 78 × 1 = 78 78 × 2 = 156 78 × 3 = 234 78 × 4 = 312 78 × 5 = 390

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 78.

What are the Multiples of 78?

Now, let us learn more about multiples of 78. Multiples of 78 are the numbers you get when you multiply 78 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 78 can be denoted as 78 × 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 78 × 1 will give us 78 as the product. Multiples of 78 will be larger or equal to 78.

$Multiples of 78$

List of First 20 Multiples of 78

Multiples of 78 include the products of 78 and an integer. Multiples of 78 are divisible by 78 evenly. The first few multiples of 78 are given below:

TABLE OF 78 (1-10)
78 x 1 = 78	78 x 6 = 468
78 x 2 = 156	78 x 7 = 546
78 x 3 = 234	78 x 8 = 624
78 x 4 = 312	78 x 9 = 702
78 x 5 = 390	78 x 10 = 780

TABLE OF 78 (11-20)
78 x 11 = 858	78 x 16 = 1248
78 x 12 = 936	78 x 17 = 1326
78 x 13 = 1014	78 x 18 = 1404
78 x 14 = 1092	78 x 19 = 1482
78 x 15 = 1170	78 x 20 = 1560

Now, we know the first few multiples of 78. They are 0, 78, 156, 234, 312, 390, 468, 546, 624, 702, 780,...

Operations with Multiples of 78

Understanding the multiples of 78 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 78, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of First 5 Multiples of 78:

78, 156, 234, 312, and 390 are the first five multiples of 78. When multiplying 78 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
78 + 156 + 234 + 312 + 390 = 1170
When we add the first 5 multiples of 78, the answer will be 1170.

Subtraction of First 5 Multiples of 78:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 78, 156, 234, 312, and 390 are the first five multiples of 78. So, let us calculate it as given below:
78 - 156 = -78
-78 - 234 = -312
-312 - 312 = -624
-624 - 390 = -1014
Hence, the result of subtracting the first 5 multiples of 78 is -1014.

Average of First 5 Multiples of 78:

To calculate the average, we need to identify the sum of the first 5 multiples of 78 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 78 is 1170.
78 + 156 + 234 + 312 + 390 = 1170
Next, divide the sum by 5:
1170 ÷ 5 = 234
234 is the average of the first 5 multiples of 78.

Product of First 5 Multiples of 78:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 78 include: 78, 156, 234, 312, and 390. Now, the product of these numbers is:
78 × 156 × 234 × 312 × 390 = 1,488,034,560
The product of the first 5 multiples of 78 is 1,488,034,560.

Division of First 5 Multiples of 78:

While we perform division, we get to know how many times 78 can fit into each of the given multiples. 78, 156, 234, 312, and 390 are the first 5 multiples of 78.
78 ÷ 78 = 1
156 ÷ 78 = 2
234 ÷ 78 = 3
312 ÷ 78 = 4
390 ÷ 78 = 5
The results of dividing the first 5 multiples of 78 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 78

Multiples of 78 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Maya is organizing a charity event that requires seating arrangements. Each table can seat 78 people. If Maya sets up 5 tables, how many people can be accommodated in total?

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

Explanation

Problem 2

A factory produces toy cars in batches. Each batch contains 78 toy cars. If the factory produces 3 batches in a day, how many toy cars are produced in a day?

Explanation

Problem 3

During a marathon event, there are refreshment stations every 78 meters along the route. If the marathon route is 780 meters long, how many refreshment stations are there?

Explanation

Problem 4

A concert hall has seating sections that accommodate 78 people each. If there are 9 sections filled to capacity, how many people are attending the concert?

Explanation

Problem 5

Lila is planning to distribute flyers for a community event. She plans to distribute 78 flyers in each neighborhood. If she covers 6 neighborhoods, how many flyers will she distribute in total?

Explanation

FAQs on Multiples of 78

1.How do you find the multiples of 78?

2.What is the LCM of 7 and 78?

3.What are the real-life applications of Multiples of 78?

4.Are multiples of 78 finite or infinite?

5. Is there any odd multiple of 78?

Important Glossaries for Multiples of 78

Multiple: A multiple represents the product of a number multiplied by an integer. For example, multiples of 78 include 78, 156, 234, 312, etc.

Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 78 are the numbers that consist of the number pattern of 78.

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 78 are even numbers.

Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 13, 26, 39, and 78 are the divisors of 78.

Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each number in a set of numbers. For example, the LCM of 7 and 78 is 546.

Explore More multiplication-tables

$Math Teacher Image$

Seyed Ali Fathima S

About the Author

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.