Find the LCM of 465, 741, 806, 838 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 465, 741, 806, 838. So, keep reading to learn more.
Given numbers are 465,741,806,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 465,741,806,838 is 96248490.
Find LCM of 465,741,806,838 with Prime Factorization
2 | 465, 741, 806, 838 |
3 | 465, 741, 403, 419 |
13 | 155, 247, 403, 419 |
31 | 155, 19, 31, 419 |
5, 19, 1, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 31 x 5 x 19 x 1 x 419 = 96248490
Therefore, the lowest common multiple of 465,741,806,838 is 96248490.
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.
465 x 741 x 806 x 838 = 232728848820
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.
465 : 1, 3, 5, 15, 31, 93, 155, 465
741 : 1, 3, 13, 19, 39, 57, 247, 741
806 : 1, 2, 13, 26, 31, 62, 403, 806
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,741,806,838, is 1.
Now, the common factors can be found like this.
465:3x 5x 31
741:3x 13x 19
806:2x 13x 31
838:2x 419
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 13x 31 = 2418
Therefore, the value for common factors is 2418.
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 = 232728848820/(1x2418)
LCM = 232728848820/2418
LCM = 96248490
Thus, we can understand that the LCM of 465,741,806,838 is 96248490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 465, 741, 806, 838?
Answer: LCM of 465, 741, 806, 838 is 96248490.
2. How to calculate the LCM of 465, 741, 806, 838?
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 465, 741, 806, 838.
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}.