Find the LCM of 106, 697, 212, 212, 788 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 106, 697, 212, 212, 788. So, keep reading to learn more.
Given numbers are 106,697,212,212,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,697,212,212,788 is 29109508.
Find LCM of 106,697,212,212,788 with Prime Factorization
2 | 106, 697, 212, 212, 788 |
2 | 53, 697, 106, 106, 394 |
53 | 53, 697, 53, 53, 197 |
1, 697, 1, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 1 x 697 x 1 x 1 x 197 = 29109508
Therefore, the lowest common multiple of 106,697,212,212,788 is 29109508.
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.
106 x 697 x 212 x 212 x 788 = 2616595455104
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.
106 : 1, 2, 53, 106
697 : 1, 17, 41, 697
212 : 1, 2, 4, 53, 106, 212
212 : 1, 2, 4, 53, 106, 212
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,697,212,212,788, is 1.
Now, the common factors can be found like this.
106:2x 53
697:17x 41
212:2x 2x 53
212:2x 2x 53
788:2x 2x 197
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 2x 2x 53x 53 = 89888
Therefore, the value for common factors is 89888.
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 = 2616595455104/(1x89888)
LCM = 2616595455104/89888
LCM = 29109508
Thus, we can understand that the LCM of 106,697,212,212,788 is 29109508.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 106, 697, 212, 212, 788?
Answer: LCM of 106, 697, 212, 212, 788 is 29109508.
2. How to calculate the LCM of 106, 697, 212, 212, 788?
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 106, 697, 212, 212, 788.
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}.