Multiples of 54
The different multiples of 54 are the products of 54 with natural numbers. The number 54 is also an even composite number and all multiples of 54 are even numbers. The consecutive multiples of 54 have a difference of 54. In this mini-lesson, we will calculate the multiples of 54 and learn some interesting facts about these multiples.
- First five multiples of 54: 54, 108, 162, 216, 270
- Prime Factorization of 54: 54 = 2 × 33
1. | What Are the Multiples of 54? |
2. | First 20 Multiples of 54 |
3. | Important Notes |
4. | FAQs on Multiples of 54 |
What Are the Multiples of 54?
Multiples of 54 are the numbers obtained by multiplying 54 with other numbers. Hence, the multiples of 54 are infinite. The first 5 numbers in the multiplication table of 54 are 54, 108, 162, 216, and 270. We can calculate the multiples of 54 by skip counting as shown below.
List of the First 20 Multiples of 54
Let's list the first 10 multiples of 54.
First 10 Multiples of 54 | |
54 × 1 = 54 | 54 × 6 = 324 |
54 × 2 = 108 | 54 × 7 = 378 |
54 × 3 = 162 | 54 × 8 = 432 |
54 × 4 = 216 | 54 × 9 = 486 |
54 × 5 = 270 | 54 × 10 = 540 |
Let us now try to derive the multiples of 54 from 11-20.
Multiples of 54 from 11-20 | |
54 × 11 = 594 | 54 × 16 = 864 |
54 × 12 = 648 | 54 × 17 = 918 |
54 × 13 = 702 | 54 × 18 = 972 |
54 × 14 = 756 | 54 × 19 = 1026 |
54 × 15 = 810 | 54 × 20 = 1080 |
To understand the concept of finding multiples, let us look at a few more examples.
- Multiples of 56 - The first five multiples of 56 are 56, 112, 168, 224, 280.
- Multiples of 60 - The first five multiples of 60 are 60, 120, 180, 240, 300.
- Multiples of 63 - The first five multiples of 63 are 63, 126, 189, 252, 315.
- Multiples of 48 - The first five multiples of 48 are 48, 96, 144, 192, 240.
Important Notes
- The number 54 has infinite multiples as it can be multiplied with any whole number and we have infinite whole numbers.
- All the multiples of 54 are even numbers.
Factors of 54 Solved Examples
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Example:1 Can you help Evan calculate the sum of the first five multiples of 54 using the table of 54?
Solution:
The first five multiples of 54 are 54, 108, 162, 216, and 270. Adding the multiples 54+108+162+216+270=810. Thus, the sum is 810.
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Example:2 Using multiples of 54, calculate 3 times 54 plus 100.
Solution:
First, we will write 3 times 54 plus 100 mathematically.
3 times 54 plus 100 = 3 × 54 + 100 = 162 +100 = 262 -
Example 3 What is the LCM of 54 and 10?
Solution:
We know that all numbers that end with zero are the multiples of 10. The first number that ends with zero in the multiples of 54 is 270.
Therefore, the LCM of 54 and 10 is 270.
FAQs on Multiples of 54
What are the multiples of 54?
The multiples of 54 are 54, 108, 162, 216, 270, and so on.
Why are all the multiples of 54 even?
All the multiples of 54 are even because 54 is an even number and the product of a number with an even number is always even.
What is the smallest common multiple of 54 and 5?
The smallest common multiple of 54 and 5 is 270.
What is the least common multiple of 54 and 540?
Since 540 is the multiple of 54, therefore, the least common multiple of 54 and 540 is 540.
How do you find the multiples of 54?
Multiply any natural number with 54. For example, 54 × 10 = 540.
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