Find the LCM of 638, 112, 428, 806, 894 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, 112, 428, 806, 894. So, keep reading to learn more.
Given numbers are 638,112,428,806,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,112,428,806,894 is 688660308336.
Find LCM of 638,112,428,806,894 with Prime Factorization
2 | 638, 112, 428, 806, 894 |
2 | 319, 56, 214, 403, 447 |
319, 28, 107, 403, 447 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 319 x 28 x 107 x 403 x 447 = 688660308336
Therefore, the lowest common multiple of 638,112,428,806,894 is 688660308336.
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 112 x 428 x 806 x 894 = 22037129866752
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
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
428 : 1, 2, 4, 107, 214, 428
806 : 1, 2, 13, 26, 31, 62, 403, 806
894 : 1, 2, 3, 6, 149, 298, 447, 894
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,112,428,806,894, is 2.
Now, the common factors can be found like this.
638:2x 11x 29
112:2x 2x 2x 2x 7
428:2x 2x 107
806:2x 13x 31
894:2x 3x 149
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 22037129866752/(2x16)
LCM = 22037129866752/32
LCM = 688660308336
Thus, we can understand that the LCM of 638,112,428,806,894 is 688660308336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 112, 428, 806, 894?
Answer: LCM of 638, 112, 428, 806, 894 is 688660308336.
2. How to calculate the LCM of 638, 112, 428, 806, 894?
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, 112, 428, 806, 894.
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}.