LCM of 406, 585, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 406, 585, 819 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 406, 585, 819. So, keep reading to learn more.
Given numbers are 406,585,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,585,819 is 237510.
Find LCM of 406,585,819 with Prime Factorization
| 3 | 406, 585, 819 |
| 3 | 406, 195, 273 |
| 7 | 406, 65, 91 |
| 13 | 58, 65, 13 |
| 58, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 13 x 58 x 5 x 1 = 237510
Therefore, the lowest common multiple of 406,585,819 is 237510.
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.
406 x 585 x 819 = 194520690
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,585,819, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
585:3x 3x 5x 13
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 13 = 819
Therefore, the value for common factors is 819.
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 = 194520690/(1x819)
LCM = 194520690/819
LCM = 237510
Thus, we can understand that the LCM of 406,585,819 is 237510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 406, 585, 819
1. What is the LCM of 406, 585, 819?
Answer: LCM of 406, 585, 819 is 237510.
2. How to calculate the LCM of 406, 585, 819?
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 406, 585, 819.
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}.