LCM of 390, 743, 351, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 743, 351, 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 390, 743, 351, 819. So, keep reading to learn more.
Given numbers are 390,743,351,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,743,351,819 is 18255510.
Find LCM of 390,743,351,819 with Prime Factorization
| 3 | 390, 743, 351, 819 |
| 3 | 130, 743, 117, 273 |
| 13 | 130, 743, 39, 91 |
| 10, 743, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 10 x 743 x 3 x 7 = 18255510
Therefore, the lowest common multiple of 390,743,351,819 is 18255510.
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.
390 x 743 x 351 x 819 = 83299892130
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
743 : 1, 743
351 : 1, 3, 9, 13, 27, 39, 117, 351
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 390,743,351,819, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
743:743
351:3x 3x 3x 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 3x 13x 13 = 4563
Therefore, the value for common factors is 4563.
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 = 83299892130/(1x4563)
LCM = 83299892130/4563
LCM = 18255510
Thus, we can understand that the LCM of 390,743,351,819 is 18255510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 390, 743, 351, 819
1. What is the LCM of 390, 743, 351, 819?
Answer: LCM of 390, 743, 351, 819 is 18255510.
2. How to calculate the LCM of 390, 743, 351, 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 390, 743, 351, 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}.