Find the LCM of 321, 417, 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 321, 417, 106. So, keep reading to learn more.
Given numbers are 321,417,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,417,106 is 4729614.
Find LCM of 321,417,106 with Prime Factorization
3 | 321, 417, 106 |
107, 139, 106 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 139 x 106 = 4729614
Therefore, the lowest common multiple of 321,417,106 is 4729614.
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.
321 x 417 x 106 = 14188842
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.
321 : 1, 3, 107, 321
417 : 1, 3, 139, 417
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,417,106, is 1.
Now, the common factors can be found like this.
321:3x 107
417:3x 139
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 14188842/(1x3)
LCM = 14188842/3
LCM = 4729614
Thus, we can understand that the LCM of 321,417,106 is 4729614.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 417, 106?
Answer: LCM of 321, 417, 106 is 4729614.
2. How to calculate the LCM of 321, 417, 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 321, 417, 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}.