LCM of 694, 351, 579, 693, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 351, 579, 693, 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 694, 351, 579, 693, 819. So, keep reading to learn more.
Given numbers are 694,351,579,693,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,351,579,693,819 is 3620050434.
Find LCM of 694,351,579,693,819 with Prime Factorization
| 3 | 694, 351, 579, 693, 819 |
| 3 | 694, 117, 193, 231, 273 |
| 7 | 694, 39, 193, 77, 91 |
| 13 | 694, 39, 193, 11, 13 |
| 694, 3, 193, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 13 x 694 x 3 x 193 x 11 x 1 = 3620050434
Therefore, the lowest common multiple of 694,351,579,693,819 is 3620050434.
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.
694 x 351 x 579 x 693 x 819 = 80050175247042
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.
694 : 1, 2, 347, 694
351 : 1, 3, 9, 13, 27, 39, 117, 351
579 : 1, 3, 193, 579
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
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 694,351,579,693,819, is 1.
Now, the common factors can be found like this.
694:2x 347
351:3x 3x 3x 13
579:3x 193
693:3x 3x 7x 11
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 3x 3x 7x 13 = 22113
Therefore, the value for common factors is 22113.
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 = 80050175247042/(1x22113)
LCM = 80050175247042/22113
LCM = 3620050434
Thus, we can understand that the LCM of 694,351,579,693,819 is 3620050434.
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FAQs on LCM of 694, 351, 579, 693, 819
1. What is the LCM of 694, 351, 579, 693, 819?
Answer: LCM of 694, 351, 579, 693, 819 is 3620050434.
2. How to calculate the LCM of 694, 351, 579, 693, 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 694, 351, 579, 693, 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}.