Find the LCM of 815, 489, 212, 400, 105 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 815, 489, 212, 400, 105. So, keep reading to learn more.
Given numbers are 815,489,212,400,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,489,212,400,105 is 72567600.
Find LCM of 815,489,212,400,105 with Prime Factorization
2 | 815, 489, 212, 400, 105 |
2 | 815, 489, 106, 200, 105 |
3 | 815, 489, 53, 100, 105 |
5 | 815, 163, 53, 100, 35 |
163 | 163, 163, 53, 20, 7 |
1, 1, 53, 20, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 163 x 1 x 1 x 53 x 20 x 7 = 72567600
Therefore, the lowest common multiple of 815,489,212,400,105 is 72567600.
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.
815 x 489 x 212 x 400 x 105 = 3548555640000
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.
815 : 1, 5, 163, 815
489 : 1, 3, 163, 489
212 : 1, 2, 4, 53, 106, 212
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,489,212,400,105, is 1.
Now, the common factors can be found like this.
815:5x 163
489:3x 163
212:2x 2x 53
400:2x 2x 2x 2x 5x 5
105:3x 5x 7
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 5x 5x 163 = 48900
Therefore, the value for common factors is 48900.
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 = 3548555640000/(1x48900)
LCM = 3548555640000/48900
LCM = 72567600
Thus, we can understand that the LCM of 815,489,212,400,105 is 72567600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 815, 489, 212, 400, 105?
Answer: LCM of 815, 489, 212, 400, 105 is 72567600.
2. How to calculate the LCM of 815, 489, 212, 400, 105?
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 815, 489, 212, 400, 105.
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}.