LCM of 428, 563, 678, 576, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 563, 678, 576, 567 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 428, 563, 678, 576, 567. So, keep reading to learn more.
Given numbers are 428,563,678,576,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,563,678,576,567 is 247020871104.
Find LCM of 428,563,678,576,567 with Prime Factorization
| 2 | 428, 563, 678, 576, 567 |
| 2 | 214, 563, 339, 288, 567 |
| 3 | 107, 563, 339, 144, 567 |
| 3 | 107, 563, 113, 48, 189 |
| 107, 563, 113, 16, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 107 x 563 x 113 x 16 x 63 = 247020871104
Therefore, the lowest common multiple of 428,563,678,576,567 is 247020871104.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
428 x 563 x 678 x 576 x 567 = 53356508158464
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
428 : 1, 2, 4, 107, 214, 428
563 : 1, 563
678 : 1, 2, 3, 6, 113, 226, 339, 678
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,563,678,576,567, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
563:563
678:2x 3x 113
576:2x 2x 2x 2x 2x 2x 3x 3
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 53356508158464/(1x216)
LCM = 53356508158464/216
LCM = 247020871104
Thus, we can understand that the LCM of 428,563,678,576,567 is 247020871104.
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FAQs on LCM of 428, 563, 678, 576, 567
1. What is the LCM of 428, 563, 678, 576, 567?
Answer: LCM of 428, 563, 678, 576, 567 is 247020871104.
2. How to calculate the LCM of 428, 563, 678, 576, 567?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 428, 563, 678, 576, 567.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.