Find the LCM of 638, 629, 414, 487 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 638, 629, 414, 487. So, keep reading to learn more.
Given numbers are 638,629,414,487
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,629,414,487 is 40454853318.
Find LCM of 638,629,414,487 with Prime Factorization
2 | 638, 629, 414, 487 |
319, 629, 207, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 319 x 629 x 207 x 487 = 40454853318
Therefore, the lowest common multiple of 638,629,414,487 is 40454853318.
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.
638 x 629 x 414 x 487 = 80909706636
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
629 : 1, 17, 37, 629
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
487 : 1, 487
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,629,414,487, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
629:17x 37
414:2x 3x 3x 23
487:487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 80909706636/(1x2)
LCM = 80909706636/2
LCM = 40454853318
Thus, we can understand that the LCM of 638,629,414,487 is 40454853318.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 629, 414, 487?
Answer: LCM of 638, 629, 414, 487 is 40454853318.
2. How to calculate the LCM of 638, 629, 414, 487?
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 638, 629, 414, 487.
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}.