Find the LCM of 390, 867, 815, 663, 834 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, 867, 815, 663, 834. So, keep reading to learn more.
Given numbers are 390,867,815,663,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,867,815,663,834 is 2553670470.
Find LCM of 390,867,815,663,834 with Prime Factorization
2 | 390, 867, 815, 663, 834 |
3 | 195, 867, 815, 663, 417 |
5 | 65, 289, 815, 221, 139 |
13 | 13, 289, 163, 221, 139 |
17 | 1, 289, 163, 17, 139 |
1, 1, 163, 17, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 17 x 1 x 1 x 163 x 17 x 139 = 2553670470
Therefore, the lowest common multiple of 390,867,815,663,834 is 2553670470.
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 867 x 815 x 663 x 834 = 152377516944900
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
867 : 1, 3, 17, 51, 289, 867
815 : 1, 5, 163, 815
663 : 1, 3, 13, 17, 39, 51, 221, 663
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,867,815,663,834, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
867:3x 17x 17
815:5x 163
663:3x 13x 17
834:2x 3x 139
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 3x 5x 13x 17 = 59670
Therefore, the value for common factors is 59670.
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 = 152377516944900/(1x59670)
LCM = 152377516944900/59670
LCM = 2553670470
Thus, we can understand that the LCM of 390,867,815,663,834 is 2553670470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 390, 867, 815, 663, 834?
Answer: LCM of 390, 867, 815, 663, 834 is 2553670470.
2. How to calculate the LCM of 390, 867, 815, 663, 834?
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, 867, 815, 663, 834.
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}.