Find the LCM of 682, 217, 757, 668, 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 682, 217, 757, 668, 442. So, keep reading to learn more.
Given numbers are 682,217,757,668,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,217,757,668,442 is 266757743252.
Find LCM of 682,217,757,668,442 with Prime Factorization
2 | 682, 217, 757, 668, 442 |
31 | 341, 217, 757, 334, 221 |
11, 7, 757, 334, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 11 x 7 x 757 x 334 x 221 = 266757743252
Therefore, the lowest common multiple of 682,217,757,668,442 is 266757743252.
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.
682 x 217 x 757 x 668 x 442 = 33077960163248
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
217 : 1, 7, 31, 217
757 : 1, 757
668 : 1, 2, 4, 167, 334, 668
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 682,217,757,668,442, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
217:7x 31
757:757
668:2x 2x 167
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.
2x 2x 31 = 124
Therefore, the value for common factors is 124.
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 = 33077960163248/(1x124)
LCM = 33077960163248/124
LCM = 266757743252
Thus, we can understand that the LCM of 682,217,757,668,442 is 266757743252.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 217, 757, 668, 442?
Answer: LCM of 682, 217, 757, 668, 442 is 266757743252.
2. How to calculate the LCM of 682, 217, 757, 668, 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 682, 217, 757, 668, 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}.