LCM of 819, 686, 428, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 686, 428, 738 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 819, 686, 428, 738. So, keep reading to learn more.
Given numbers are 819,686,428,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,686,428,738 is 704218788.
Find LCM of 819,686,428,738 with Prime Factorization
| 2 | 819, 686, 428, 738 |
| 3 | 819, 343, 214, 369 |
| 3 | 273, 343, 214, 123 |
| 7 | 91, 343, 214, 41 |
| 13, 49, 214, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 49 x 214 x 41 = 704218788
Therefore, the lowest common multiple of 819,686,428,738 is 704218788.
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.
819 x 686 x 428 x 738 = 177463134576
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
686 : 1, 2, 7, 14, 49, 98, 343, 686
428 : 1, 2, 4, 107, 214, 428
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,686,428,738, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
686:2x 7x 7x 7
428:2x 2x 107
738:2x 3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 177463134576/(1x252)
LCM = 177463134576/252
LCM = 704218788
Thus, we can understand that the LCM of 819,686,428,738 is 704218788.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 819, 686, 428, 738
1. What is the LCM of 819, 686, 428, 738?
Answer: LCM of 819, 686, 428, 738 is 704218788.
2. How to calculate the LCM of 819, 686, 428, 738?
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 819, 686, 428, 738.
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}.