Find the LCM of 682, 338, 252, 168, 638 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, 338, 252, 168, 638. So, keep reading to learn more.
Given numbers are 682,338,252,168,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,338,252,168,638 is 842305464.
Find LCM of 682,338,252,168,638 with Prime Factorization
2 | 682, 338, 252, 168, 638 |
2 | 341, 169, 126, 84, 319 |
3 | 341, 169, 63, 42, 319 |
7 | 341, 169, 21, 14, 319 |
11 | 341, 169, 3, 2, 319 |
31, 169, 3, 2, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 31 x 169 x 3 x 2 x 29 = 842305464
Therefore, the lowest common multiple of 682,338,252,168,638 is 842305464.
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 338 x 252 x 168 x 638 = 6226321989888
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
338 : 1, 2, 13, 26, 169, 338
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
638 : 1, 2, 11, 22, 29, 58, 319, 638
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,338,252,168,638, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
338:2x 13x 13
252:2x 2x 3x 3x 7
168:2x 2x 2x 3x 7
638:2x 11x 29
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 3x 7x 11 = 3696
Therefore, the value for common factors is 3696.
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 = 6226321989888/(2x3696)
LCM = 6226321989888/7392
LCM = 842305464
Thus, we can understand that the LCM of 682,338,252,168,638 is 842305464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 338, 252, 168, 638?
Answer: LCM of 682, 338, 252, 168, 638 is 842305464.
2. How to calculate the LCM of 682, 338, 252, 168, 638?
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, 338, 252, 168, 638.
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}.