LCM of 659, 678, 256, 477, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 678, 256, 477, 533 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 659, 678, 256, 477, 533. So, keep reading to learn more.
Given numbers are 659,678,256,477,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,678,256,477,533 is 4846736524032.
Find LCM of 659,678,256,477,533 with Prime Factorization
| 2 | 659, 678, 256, 477, 533 |
| 3 | 659, 339, 128, 477, 533 |
| 659, 113, 128, 159, 533 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 659 x 113 x 128 x 159 x 533 = 4846736524032
Therefore, the lowest common multiple of 659,678,256,477,533 is 4846736524032.
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.
659 x 678 x 256 x 477 x 533 = 29080419144192
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.
659 : 1, 659
678 : 1, 2, 3, 6, 113, 226, 339, 678
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
477 : 1, 3, 9, 53, 159, 477
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,678,256,477,533, is 1.
Now, the common factors can be found like this.
659:659
678:2x 3x 113
256:2x 2x 2x 2x 2x 2x 2x 2
477:3x 3x 53
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 29080419144192/(1x6)
LCM = 29080419144192/6
LCM = 4846736524032
Thus, we can understand that the LCM of 659,678,256,477,533 is 4846736524032.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 659, 678, 256, 477, 533
1. What is the LCM of 659, 678, 256, 477, 533?
Answer: LCM of 659, 678, 256, 477, 533 is 4846736524032.
2. How to calculate the LCM of 659, 678, 256, 477, 533?
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 659, 678, 256, 477, 533.
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}.