LCM of 799, 408, 213, 648, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 408, 213, 648, 578 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 799, 408, 213, 648, 578. So, keep reading to learn more.
Given numbers are 799,408,213,648,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,408,213,648,578 is 624926664.
Find LCM of 799,408,213,648,578 with Prime Factorization
| 2 | 799, 408, 213, 648, 578 |
| 2 | 799, 204, 213, 324, 289 |
| 2 | 799, 102, 213, 162, 289 |
| 3 | 799, 51, 213, 81, 289 |
| 17 | 799, 17, 71, 27, 289 |
| 47, 1, 71, 27, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 47 x 1 x 71 x 27 x 17 = 624926664
Therefore, the lowest common multiple of 799,408,213,648,578 is 624926664.
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.
799 x 408 x 213 x 648 x 578 = 26006948049024
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.
799 : 1, 17, 47, 799
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
213 : 1, 3, 71, 213
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,408,213,648,578, is 1.
Now, the common factors can be found like this.
799:17x 47
408:2x 2x 2x 3x 17
213:3x 71
648:2x 2x 2x 3x 3x 3x 3
578:2x 17x 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 2x 2x 3x 3x 17x 17 = 41616
Therefore, the value for common factors is 41616.
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 = 26006948049024/(1x41616)
LCM = 26006948049024/41616
LCM = 624926664
Thus, we can understand that the LCM of 799,408,213,648,578 is 624926664.
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FAQs on LCM of 799, 408, 213, 648, 578
1. What is the LCM of 799, 408, 213, 648, 578?
Answer: LCM of 799, 408, 213, 648, 578 is 624926664.
2. How to calculate the LCM of 799, 408, 213, 648, 578?
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 799, 408, 213, 648, 578.
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}.