LCM of 493, 369, 609, 814, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 369, 609, 814, 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 493, 369, 609, 814, 819. So, keep reading to learn more.
Given numbers are 493,369,609,814,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,369,609,814,819 is 13475319858.
Find LCM of 493,369,609,814,819 with Prime Factorization
| 3 | 493, 369, 609, 814, 819 |
| 3 | 493, 123, 203, 814, 273 |
| 7 | 493, 41, 203, 814, 91 |
| 29 | 493, 41, 29, 814, 13 |
| 17, 41, 1, 814, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 29 x 17 x 41 x 1 x 814 x 13 = 13475319858
Therefore, the lowest common multiple of 493,369,609,814,819 is 13475319858.
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.
493 x 369 x 609 x 814 x 819 = 73858228141698
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.
493 : 1, 17, 29, 493
369 : 1, 3, 9, 41, 123, 369
609 : 1, 3, 7, 21, 29, 87, 203, 609
814 : 1, 2, 11, 22, 37, 74, 407, 814
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 493,369,609,814,819, is 1.
Now, the common factors can be found like this.
493:17x 29
369:3x 3x 41
609:3x 7x 29
814:2x 11x 37
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 3x 7x 29 = 5481
Therefore, the value for common factors is 5481.
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 = 73858228141698/(1x5481)
LCM = 73858228141698/5481
LCM = 13475319858
Thus, we can understand that the LCM of 493,369,609,814,819 is 13475319858.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 493, 369, 609, 814, 819
1. What is the LCM of 493, 369, 609, 814, 819?
Answer: LCM of 493, 369, 609, 814, 819 is 13475319858.
2. How to calculate the LCM of 493, 369, 609, 814, 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 493, 369, 609, 814, 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}.