Find the LCM of 105, 356, 370, 454, 819 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 105, 356, 370, 454, 819. So, keep reading to learn more.
Given numbers are 105,356,370,454,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,356,370,454,819 is 12244230180.
Find LCM of 105,356,370,454,819 with Prime Factorization
2 | 105, 356, 370, 454, 819 |
3 | 105, 178, 185, 227, 819 |
5 | 35, 178, 185, 227, 273 |
7 | 7, 178, 37, 227, 273 |
1, 178, 37, 227, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 1 x 178 x 37 x 227 x 39 = 12244230180
Therefore, the lowest common multiple of 105,356,370,454,819 is 12244230180.
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.
105 x 356 x 370 x 454 x 819 = 5142576675600
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
356 : 1, 2, 4, 89, 178, 356
370 : 1, 2, 5, 10, 37, 74, 185, 370
454 : 1, 2, 227, 454
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,356,370,454,819, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
356:2x 2x 89
370:2x 5x 37
454:2x 227
819:3x 3x 7x 13
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 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 5142576675600/(1x420)
LCM = 5142576675600/420
LCM = 12244230180
Thus, we can understand that the LCM of 105,356,370,454,819 is 12244230180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 356, 370, 454, 819?
Answer: LCM of 105, 356, 370, 454, 819 is 12244230180.
2. How to calculate the LCM of 105, 356, 370, 454, 819?
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 105, 356, 370, 454, 819.
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}.