Find the LCM of 925, 782, 629, 481, 147 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 925, 782, 629, 481, 147. So, keep reading to learn more.
Given numbers are 925,782,629,481,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,782,629,481,147 is 1382321850.
Find LCM of 925,782,629,481,147 with Prime Factorization
17 | 925, 782, 629, 481, 147 |
37 | 925, 46, 37, 481, 147 |
25, 46, 1, 13, 147 |
Multiply the prime numbers at the bottom and the left side.
17 x 37 x 25 x 46 x 1 x 13 x 147 = 1382321850
Therefore, the lowest common multiple of 925,782,629,481,147 is 1382321850.
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.
925 x 782 x 629 x 481 x 147 = 32170776415050
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.
925 : 1, 5, 25, 37, 185, 925
782 : 1, 2, 17, 23, 34, 46, 391, 782
629 : 1, 17, 37, 629
481 : 1, 13, 37, 481
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,782,629,481,147, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
782:2x 17x 23
629:17x 37
481:13x 37
147:3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 37x 37 = 23273
Therefore, the value for common factors is 23273.
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 = 32170776415050/(1x23273)
LCM = 32170776415050/23273
LCM = 1382321850
Thus, we can understand that the LCM of 925,782,629,481,147 is 1382321850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 925, 782, 629, 481, 147?
Answer: LCM of 925, 782, 629, 481, 147 is 1382321850.
2. How to calculate the LCM of 925, 782, 629, 481, 147?
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 925, 782, 629, 481, 147.
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}.