LCM of 809, 924, 644, 581, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 924, 644, 581, 255 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 809, 924, 644, 581, 255. So, keep reading to learn more.
Given numbers are 809,924,644,581,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,924,644,581,255 is 121295683740.
Find LCM of 809,924,644,581,255 with Prime Factorization
| 2 | 809, 924, 644, 581, 255 |
| 2 | 809, 462, 322, 581, 255 |
| 3 | 809, 231, 161, 581, 255 |
| 7 | 809, 77, 161, 581, 85 |
| 809, 11, 23, 83, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 809 x 11 x 23 x 83 x 85 = 121295683740
Therefore, the lowest common multiple of 809,924,644,581,255 is 121295683740.
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.
809 x 924 x 644 x 581 x 255 = 71321862039120
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.
809 : 1, 809
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
581 : 1, 7, 83, 581
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,924,644,581,255, is 1.
Now, the common factors can be found like this.
809:809
924:2x 2x 3x 7x 11
644:2x 2x 7x 23
581:7x 83
255:3x 5x 17
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 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 71321862039120/(1x588)
LCM = 71321862039120/588
LCM = 121295683740
Thus, we can understand that the LCM of 809,924,644,581,255 is 121295683740.
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FAQs on LCM of 809, 924, 644, 581, 255
1. What is the LCM of 809, 924, 644, 581, 255?
Answer: LCM of 809, 924, 644, 581, 255 is 121295683740.
2. How to calculate the LCM of 809, 924, 644, 581, 255?
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 809, 924, 644, 581, 255.
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}.