Find the LCM of 213, 198, 206, 417, 417 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 213, 198, 206, 417, 417. So, keep reading to learn more.
Given numbers are 213,198,206,417,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,198,206,417,417 is 201268386.
Find LCM of 213,198,206,417,417 with Prime Factorization
2 | 213, 198, 206, 417, 417 |
3 | 213, 99, 103, 417, 417 |
139 | 71, 33, 103, 139, 139 |
71, 33, 103, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 71 x 33 x 103 x 1 x 1 = 201268386
Therefore, the lowest common multiple of 213,198,206,417,417 is 201268386.
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.
213 x 198 x 206 x 417 x 417 = 1510720505316
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.
213 : 1, 3, 71, 213
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
206 : 1, 2, 103, 206
417 : 1, 3, 139, 417
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,198,206,417,417, is 1.
Now, the common factors can be found like this.
213:3x 71
198:2x 3x 3x 11
206:2x 103
417:3x 139
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 139 = 7506
Therefore, the value for common factors is 7506.
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 = 1510720505316/(1x7506)
LCM = 1510720505316/7506
LCM = 201268386
Thus, we can understand that the LCM of 213,198,206,417,417 is 201268386.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 213, 198, 206, 417, 417?
Answer: LCM of 213, 198, 206, 417, 417 is 201268386.
2. How to calculate the LCM of 213, 198, 206, 417, 417?
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 213, 198, 206, 417, 417.
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}.