Find the LCM of 412, 609, 121, 406 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 412, 609, 121, 406. So, keep reading to learn more.
Given numbers are 412,609,121,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,609,121,406 is 30359868.
Find LCM of 412,609,121,406 with Prime Factorization
2 | 412, 609, 121, 406 |
7 | 206, 609, 121, 203 |
29 | 206, 87, 121, 29 |
206, 3, 121, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 206 x 3 x 121 x 1 = 30359868
Therefore, the lowest common multiple of 412,609,121,406 is 30359868.
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.
412 x 609 x 121 x 406 = 12326106408
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.
412 : 1, 2, 4, 103, 206, 412
609 : 1, 3, 7, 21, 29, 87, 203, 609
121 : 1, 11, 121
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,609,121,406, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
609:3x 7x 29
121:11x 11
406:2x 7x 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 7x 29 = 406
Therefore, the value for common factors is 406.
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 = 12326106408/(1x406)
LCM = 12326106408/406
LCM = 30359868
Thus, we can understand that the LCM of 412,609,121,406 is 30359868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 412, 609, 121, 406?
Answer: LCM of 412, 609, 121, 406 is 30359868.
2. How to calculate the LCM of 412, 609, 121, 406?
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 412, 609, 121, 406.
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}.