Find the LCM of 412, 169, 871, 201 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, 169, 871, 201. So, keep reading to learn more.
Given numbers are 412,169,871,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,169,871,201 is 13995228.
Find LCM of 412,169,871,201 with Prime Factorization
13 | 412, 169, 871, 201 |
67 | 412, 13, 67, 201 |
412, 13, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
13 x 67 x 412 x 13 x 1 x 3 = 13995228
Therefore, the lowest common multiple of 412,169,871,201 is 13995228.
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 169 x 871 x 201 = 12189843588
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
169 : 1, 13, 169
871 : 1, 13, 67, 871
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,169,871,201, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
169:13x 13
871:13x 67
201:3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 67 = 871
Therefore, the value for common factors is 871.
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 = 12189843588/(1x871)
LCM = 12189843588/871
LCM = 13995228
Thus, we can understand that the LCM of 412,169,871,201 is 13995228.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 412, 169, 871, 201?
Answer: LCM of 412, 169, 871, 201 is 13995228.
2. How to calculate the LCM of 412, 169, 871, 201?
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, 169, 871, 201.
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}.