Find the LCM of 814, 470, 559, 356, 356 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 814, 470, 559, 356, 356. So, keep reading to learn more.
Given numbers are 814,470,559,356,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,470,559,356,356 is 19033737580.
Find LCM of 814,470,559,356,356 with Prime Factorization
2 | 814, 470, 559, 356, 356 |
2 | 407, 235, 559, 178, 178 |
89 | 407, 235, 559, 89, 89 |
407, 235, 559, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 89 x 407 x 235 x 559 x 1 x 1 = 19033737580
Therefore, the lowest common multiple of 814,470,559,356,356 is 19033737580.
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.
814 x 470 x 559 x 356 x 356 = 27104042313920
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
470 : 1, 2, 5, 10, 47, 94, 235, 470
559 : 1, 13, 43, 559
356 : 1, 2, 4, 89, 178, 356
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,470,559,356,356, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
470:2x 5x 47
559:13x 43
356:2x 2x 89
356:2x 2x 89
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 89 = 1424
Therefore, the value for common factors is 1424.
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 = 27104042313920/(1x1424)
LCM = 27104042313920/1424
LCM = 19033737580
Thus, we can understand that the LCM of 814,470,559,356,356 is 19033737580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 470, 559, 356, 356?
Answer: LCM of 814, 470, 559, 356, 356 is 19033737580.
2. How to calculate the LCM of 814, 470, 559, 356, 356?
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 814, 470, 559, 356, 356.
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}.