LCM of 399, 570, 912, 617, 581
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 570, 912, 617, 581 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 399, 570, 912, 617, 581. So, keep reading to learn more.
Given numbers are 399,570,912,617,581
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,570,912,617,581 is 1634655120.
Find LCM of 399,570,912,617,581 with Prime Factorization
| 2 | 399, 570, 912, 617, 581 |
| 3 | 399, 285, 456, 617, 581 |
| 7 | 133, 95, 152, 617, 581 |
| 19 | 19, 95, 152, 617, 83 |
| 1, 5, 8, 617, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 1 x 5 x 8 x 617 x 83 = 1634655120
Therefore, the lowest common multiple of 399,570,912,617,581 is 1634655120.
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.
399 x 570 x 912 x 617 x 581 = 74353922788320
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
617 : 1, 617
581 : 1, 7, 83, 581
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,570,912,617,581, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
570:2x 3x 5x 19
912:2x 2x 2x 2x 3x 19
617:617
581:7x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 19x 19 = 45486
Therefore, the value for common factors is 45486.
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 = 74353922788320/(1x45486)
LCM = 74353922788320/45486
LCM = 1634655120
Thus, we can understand that the LCM of 399,570,912,617,581 is 1634655120.
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FAQs on LCM of 399, 570, 912, 617, 581
1. What is the LCM of 399, 570, 912, 617, 581?
Answer: LCM of 399, 570, 912, 617, 581 is 1634655120.
2. How to calculate the LCM of 399, 570, 912, 617, 581?
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 399, 570, 912, 617, 581.
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}.