Find the LCM of 629, 457, 775, 442 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 629, 457, 775, 442. So, keep reading to learn more.
Given numbers are 629,457,775,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,457,775,442 is 5792177950.
Find LCM of 629,457,775,442 with Prime Factorization
17 | 629, 457, 775, 442 |
37, 457, 775, 26 |
Multiply the prime numbers at the bottom and the left side.
17 x 37 x 457 x 775 x 26 = 5792177950
Therefore, the lowest common multiple of 629,457,775,442 is 5792177950.
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.
629 x 457 x 775 x 442 = 98467025150
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.
629 : 1, 17, 37, 629
457 : 1, 457
775 : 1, 5, 25, 31, 155, 775
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,457,775,442, is 1.
Now, the common factors can be found like this.
629:17x 37
457:457
775:5x 5x 31
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 98467025150/(1x17)
LCM = 98467025150/17
LCM = 5792177950
Thus, we can understand that the LCM of 629,457,775,442 is 5792177950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 629, 457, 775, 442?
Answer: LCM of 629, 457, 775, 442 is 5792177950.
2. How to calculate the LCM of 629, 457, 775, 442?
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 629, 457, 775, 442.
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}.