Find the LCM of 159, 212, 858, 908, 428 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 159, 212, 858, 908, 428. So, keep reading to learn more.
Given numbers are 159,212,858,908,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,212,858,908,428 is 2209035972.
Find LCM of 159,212,858,908,428 with Prime Factorization
2 | 159, 212, 858, 908, 428 |
2 | 159, 106, 429, 454, 214 |
3 | 159, 53, 429, 227, 107 |
53 | 53, 53, 143, 227, 107 |
1, 1, 143, 227, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 1 x 1 x 143 x 227 x 107 = 2209035972
Therefore, the lowest common multiple of 159,212,858,908,428 is 2209035972.
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.
159 x 212 x 858 x 908 x 428 = 11239575025536
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.
159 : 1, 3, 53, 159
212 : 1, 2, 4, 53, 106, 212
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
908 : 1, 2, 4, 227, 454, 908
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,212,858,908,428, is 1.
Now, the common factors can be found like this.
159:3x 53
212:2x 2x 53
858:2x 3x 11x 13
908:2x 2x 227
428:2x 2x 107
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 2x 2x 3x 53 = 5088
Therefore, the value for common factors is 5088.
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 = 11239575025536/(1x5088)
LCM = 11239575025536/5088
LCM = 2209035972
Thus, we can understand that the LCM of 159,212,858,908,428 is 2209035972.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 212, 858, 908, 428?
Answer: LCM of 159, 212, 858, 908, 428 is 2209035972.
2. How to calculate the LCM of 159, 212, 858, 908, 428?
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 159, 212, 858, 908, 428.
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}.