Find the LCM of 417, 899, 106, 248, 775 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 417, 899, 106, 248, 775. So, keep reading to learn more.
Given numbers are 417,899,106,248,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,899,106,248,775 is 3973759800.
Find LCM of 417,899,106,248,775 with Prime Factorization
2 | 417, 899, 106, 248, 775 |
31 | 417, 899, 53, 124, 775 |
417, 29, 53, 4, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 417 x 29 x 53 x 4 x 25 = 3973759800
Therefore, the lowest common multiple of 417,899,106,248,775 is 3973759800.
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.
417 x 899 x 106 x 248 x 775 = 7637566335600
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.
417 : 1, 3, 139, 417
899 : 1, 29, 31, 899
106 : 1, 2, 53, 106
248 : 1, 2, 4, 8, 31, 62, 124, 248
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,899,106,248,775, is 1.
Now, the common factors can be found like this.
417:3x 139
899:29x 31
106:2x 53
248:2x 2x 2x 31
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 31x 31 = 1922
Therefore, the value for common factors is 1922.
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 = 7637566335600/(1x1922)
LCM = 7637566335600/1922
LCM = 3973759800
Thus, we can understand that the LCM of 417,899,106,248,775 is 3973759800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 417, 899, 106, 248, 775?
Answer: LCM of 417, 899, 106, 248, 775 is 3973759800.
2. How to calculate the LCM of 417, 899, 106, 248, 775?
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 417, 899, 106, 248, 775.
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}.