Find the LCM of 437, 455, 322, 990, 459 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 437, 455, 322, 990, 459. So, keep reading to learn more.
Given numbers are 437,455,322,990,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,455,322,990,459 is 2007835830.
Find LCM of 437,455,322,990,459 with Prime Factorization
2 | 437, 455, 322, 990, 459 |
3 | 437, 455, 161, 495, 459 |
3 | 437, 455, 161, 165, 153 |
5 | 437, 455, 161, 55, 51 |
7 | 437, 91, 161, 11, 51 |
23 | 437, 13, 23, 11, 51 |
19, 13, 1, 11, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 23 x 19 x 13 x 1 x 11 x 51 = 2007835830
Therefore, the lowest common multiple of 437,455,322,990,459 is 2007835830.
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.
437 x 455 x 322 x 990 x 459 = 29093541176700
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.
437 : 1, 19, 23, 437
455 : 1, 5, 7, 13, 35, 65, 91, 455
322 : 1, 2, 7, 14, 23, 46, 161, 322
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
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,455,322,990,459, is 1.
Now, the common factors can be found like this.
437:19x 23
455:5x 7x 13
322:2x 7x 23
990:2x 3x 3x 5x 11
459:3x 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 3x 3x 5x 7x 23 = 14490
Therefore, the value for common factors is 14490.
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 = 29093541176700/(1x14490)
LCM = 29093541176700/14490
LCM = 2007835830
Thus, we can understand that the LCM of 437,455,322,990,459 is 2007835830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 455, 322, 990, 459?
Answer: LCM of 437, 455, 322, 990, 459 is 2007835830.
2. How to calculate the LCM of 437, 455, 322, 990, 459?
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 437, 455, 322, 990, 459.
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}.