LCM of 364, 819, 390, 786, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 819, 390, 786, 869 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 364, 819, 390, 786, 869. So, keep reading to learn more.
Given numbers are 364,819,390,786,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,819,390,786,869 is 1864682820.
Find LCM of 364,819,390,786,869 with Prime Factorization
| 2 | 364, 819, 390, 786, 869 |
| 3 | 182, 819, 195, 393, 869 |
| 7 | 182, 273, 65, 131, 869 |
| 13 | 26, 39, 65, 131, 869 |
| 2, 3, 5, 131, 869 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 2 x 3 x 5 x 131 x 869 = 1864682820
Therefore, the lowest common multiple of 364,819,390,786,869 is 1864682820.
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.
364 x 819 x 390 x 786 x 869 = 79413111938160
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
786 : 1, 2, 3, 6, 131, 262, 393, 786
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,819,390,786,869, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
819:3x 3x 7x 13
390:2x 3x 5x 13
786:2x 3x 131
869:11x 79
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 7x 13x 13 = 42588
Therefore, the value for common factors is 42588.
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 = 79413111938160/(1x42588)
LCM = 79413111938160/42588
LCM = 1864682820
Thus, we can understand that the LCM of 364,819,390,786,869 is 1864682820.
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FAQs on LCM of 364, 819, 390, 786, 869
1. What is the LCM of 364, 819, 390, 786, 869?
Answer: LCM of 364, 819, 390, 786, 869 is 1864682820.
2. How to calculate the LCM of 364, 819, 390, 786, 869?
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 364, 819, 390, 786, 869.
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}.