LCM of 343, 777, 642, 644, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 777, 642, 644, 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 343, 777, 642, 644, 819. So, keep reading to learn more.
Given numbers are 343,777,642,644,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,777,642,644,819 is 14616833868.
Find LCM of 343,777,642,644,819 with Prime Factorization
| 2 | 343, 777, 642, 644, 819 |
| 3 | 343, 777, 321, 322, 819 |
| 7 | 343, 259, 107, 322, 273 |
| 49, 37, 107, 46, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 49 x 37 x 107 x 46 x 39 = 14616833868
Therefore, the lowest common multiple of 343,777,642,644,819 is 14616833868.
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.
343 x 777 x 642 x 644 x 819 = 90244332301032
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.
343 : 1, 7, 49, 343
777 : 1, 3, 7, 21, 37, 111, 259, 777
642 : 1, 2, 3, 6, 107, 214, 321, 642
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
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 343,777,642,644,819, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
777:3x 7x 37
642:2x 3x 107
644:2x 2x 7x 23
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.
2x 3x 3x 7x 7x 7 = 6174
Therefore, the value for common factors is 6174.
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 = 90244332301032/(1x6174)
LCM = 90244332301032/6174
LCM = 14616833868
Thus, we can understand that the LCM of 343,777,642,644,819 is 14616833868.
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FAQs on LCM of 343, 777, 642, 644, 819
1. What is the LCM of 343, 777, 642, 644, 819?
Answer: LCM of 343, 777, 642, 644, 819 is 14616833868.
2. How to calculate the LCM of 343, 777, 642, 644, 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 343, 777, 642, 644, 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}.