Find the LCM of 452, 622, 641, 135, 990 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 452, 622, 641, 135, 990. So, keep reading to learn more.
Given numbers are 452,622,641,135,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,622,641,135,990 is 133808378220.
Find LCM of 452,622,641,135,990 with Prime Factorization
2 | 452, 622, 641, 135, 990 |
3 | 226, 311, 641, 135, 495 |
3 | 226, 311, 641, 45, 165 |
5 | 226, 311, 641, 15, 55 |
226, 311, 641, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 226 x 311 x 641 x 3 x 11 = 133808378220
Therefore, the lowest common multiple of 452,622,641,135,990 is 133808378220.
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.
452 x 622 x 641 x 135 x 990 = 24085508079600
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.
452 : 1, 2, 4, 113, 226, 452
622 : 1, 2, 311, 622
641 : 1, 641
135 : 1, 3, 5, 9, 15, 27, 45, 135
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,622,641,135,990, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
622:2x 311
641:641
135:3x 3x 3x 5
990:2x 3x 3x 5x 11
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 24085508079600/(1x180)
LCM = 24085508079600/180
LCM = 133808378220
Thus, we can understand that the LCM of 452,622,641,135,990 is 133808378220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 452, 622, 641, 135, 990?
Answer: LCM of 452, 622, 641, 135, 990 is 133808378220.
2. How to calculate the LCM of 452, 622, 641, 135, 990?
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 452, 622, 641, 135, 990.
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}.