Find the LCM of 422, 455, 422, 338, 952 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 422, 455, 422, 338, 952. So, keep reading to learn more.
Given numbers are 422,455,422,338,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,455,422,338,952 is 169736840.
Find LCM of 422,455,422,338,952 with Prime Factorization
2 | 422, 455, 422, 338, 952 |
7 | 211, 455, 211, 169, 476 |
13 | 211, 65, 211, 169, 68 |
211 | 211, 5, 211, 13, 68 |
1, 5, 1, 13, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 211 x 1 x 5 x 1 x 13 x 68 = 169736840
Therefore, the lowest common multiple of 422,455,422,338,952 is 169736840.
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.
422 x 455 x 422 x 338 x 952 = 26072936518720
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.
422 : 1, 2, 211, 422
455 : 1, 5, 7, 13, 35, 65, 91, 455
422 : 1, 2, 211, 422
338 : 1, 2, 13, 26, 169, 338
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,455,422,338,952, is 1.
Now, the common factors can be found like this.
422:2x 211
455:5x 7x 13
422:2x 211
338:2x 13x 13
952:2x 2x 2x 7x 17
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 2x 7x 13x 211 = 153608
Therefore, the value for common factors is 153608.
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 = 26072936518720/(1x153608)
LCM = 26072936518720/153608
LCM = 169736840
Thus, we can understand that the LCM of 422,455,422,338,952 is 169736840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 455, 422, 338, 952?
Answer: LCM of 422, 455, 422, 338, 952 is 169736840.
2. How to calculate the LCM of 422, 455, 422, 338, 952?
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 422, 455, 422, 338, 952.
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}.