Find the LCM of 682, 917, 321, 546, 106 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, 917, 321, 546, 106. So, keep reading to learn more.
Given numbers are 682,917,321,546,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,917,321,546,106 is 138317765586.
Find LCM of 682,917,321,546,106 with Prime Factorization
2 | 682, 917, 321, 546, 106 |
3 | 341, 917, 321, 273, 53 |
7 | 341, 917, 107, 91, 53 |
341, 131, 107, 13, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 341 x 131 x 107 x 13 x 53 = 138317765586
Therefore, the lowest common multiple of 682,917,321,546,106 is 138317765586.
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 917 x 321 x 546 x 106 = 11618692309224
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
917 : 1, 7, 131, 917
321 : 1, 3, 107, 321
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,917,321,546,106, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
917:7x 131
321:3x 107
546:2x 3x 7x 13
106:2x 53
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 11618692309224/(1x84)
LCM = 11618692309224/84
LCM = 138317765586
Thus, we can understand that the LCM of 682,917,321,546,106 is 138317765586.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 917, 321, 546, 106?
Answer: LCM of 682, 917, 321, 546, 106 is 138317765586.
2. How to calculate the LCM of 682, 917, 321, 546, 106?
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, 917, 321, 546, 106.
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}.