Find the LCM of 815, 428, 156, 559, 239 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 815, 428, 156, 559, 239. So, keep reading to learn more.
Given numbers are 815,428,156,559,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,428,156,559,239 is 139808102460.
Find LCM of 815,428,156,559,239 with Prime Factorization
2 | 815, 428, 156, 559, 239 |
2 | 815, 214, 78, 559, 239 |
13 | 815, 107, 39, 559, 239 |
815, 107, 3, 43, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 815 x 107 x 3 x 43 x 239 = 139808102460
Therefore, the lowest common multiple of 815,428,156,559,239 is 139808102460.
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.
815 x 428 x 156 x 559 x 239 = 7270021327920
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.
815 : 1, 5, 163, 815
428 : 1, 2, 4, 107, 214, 428
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
559 : 1, 13, 43, 559
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,428,156,559,239, is 1.
Now, the common factors can be found like this.
815:5x 163
428:2x 2x 107
156:2x 2x 3x 13
559:13x 43
239:239
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 13 = 52
Therefore, the value for common factors is 52.
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 = 7270021327920/(1x52)
LCM = 7270021327920/52
LCM = 139808102460
Thus, we can understand that the LCM of 815,428,156,559,239 is 139808102460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 815, 428, 156, 559, 239?
Answer: LCM of 815, 428, 156, 559, 239 is 139808102460.
2. How to calculate the LCM of 815, 428, 156, 559, 239?
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 815, 428, 156, 559, 239.
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}.