Find the LCM of 622, 352, 990, 442, 612 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 622, 352, 990, 442, 612. So, keep reading to learn more.
Given numbers are 622,352,990,442,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,352,990,442,612 is 1088699040.
Find LCM of 622,352,990,442,612 with Prime Factorization
2 | 622, 352, 990, 442, 612 |
2 | 311, 176, 495, 221, 306 |
3 | 311, 88, 495, 221, 153 |
3 | 311, 88, 165, 221, 51 |
11 | 311, 88, 55, 221, 17 |
17 | 311, 8, 5, 221, 17 |
311, 8, 5, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 17 x 311 x 8 x 5 x 13 x 1 = 1088699040
Therefore, the lowest common multiple of 622,352,990,442,612 is 1088699040.
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.
622 x 352 x 990 x 442 x 612 = 58632975498240
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.
622 : 1, 2, 311, 622
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
442 : 1, 2, 13, 17, 26, 34, 221, 442
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,352,990,442,612, is 2.
Now, the common factors can be found like this.
622:2x 311
352:2x 2x 2x 2x 2x 11
990:2x 3x 3x 5x 11
442:2x 13x 17
612:2x 2x 3x 3x 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 2x 3x 3x 11x 17 = 26928
Therefore, the value for common factors is 26928.
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 = 58632975498240/(2x26928)
LCM = 58632975498240/53856
LCM = 1088699040
Thus, we can understand that the LCM of 622,352,990,442,612 is 1088699040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 622, 352, 990, 442, 612?
Answer: LCM of 622, 352, 990, 442, 612 is 1088699040.
2. How to calculate the LCM of 622, 352, 990, 442, 612?
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 622, 352, 990, 442, 612.
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}.