LCM of 867, 806, 390, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 806, 390, 914 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 867, 806, 390, 914. So, keep reading to learn more.
Given numbers are 867,806,390,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,806,390,914 is 1596762570.
Find LCM of 867,806,390,914 with Prime Factorization
| 2 | 867, 806, 390, 914 |
| 3 | 867, 403, 195, 457 |
| 13 | 289, 403, 65, 457 |
| 289, 31, 5, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 289 x 31 x 5 x 457 = 1596762570
Therefore, the lowest common multiple of 867,806,390,914 is 1596762570.
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.
867 x 806 x 390 x 914 = 249094960920
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.
867 : 1, 3, 17, 51, 289, 867
806 : 1, 2, 13, 26, 31, 62, 403, 806
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,806,390,914, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
806:2x 13x 31
390:2x 3x 5x 13
914:2x 457
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 13 = 156
Therefore, the value for common factors is 156.
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 = 249094960920/(1x156)
LCM = 249094960920/156
LCM = 1596762570
Thus, we can understand that the LCM of 867,806,390,914 is 1596762570.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 867, 806, 390, 914
1. What is the LCM of 867, 806, 390, 914?
Answer: LCM of 867, 806, 390, 914 is 1596762570.
2. How to calculate the LCM of 867, 806, 390, 914?
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 867, 806, 390, 914.
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}.