Find the LCM of 331, 640, 816, 170, 537 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 331, 640, 816, 170, 537. So, keep reading to learn more.
Given numbers are 331,640,816,170,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,640,816,170,537 is 1933887360.
Find LCM of 331,640,816,170,537 with Prime Factorization
2 | 331, 640, 816, 170, 537 |
2 | 331, 320, 408, 85, 537 |
2 | 331, 160, 204, 85, 537 |
2 | 331, 80, 102, 85, 537 |
3 | 331, 40, 51, 85, 537 |
5 | 331, 40, 17, 85, 179 |
17 | 331, 8, 17, 17, 179 |
331, 8, 1, 1, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 17 x 331 x 8 x 1 x 1 x 179 = 1933887360
Therefore, the lowest common multiple of 331,640,816,170,537 is 1933887360.
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.
331 x 640 x 816 x 170 x 537 = 15780520857600
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.
331 : 1, 331
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
170 : 1, 2, 5, 10, 17, 34, 85, 170
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,640,816,170,537, is 1.
Now, the common factors can be found like this.
331:331
640:2x 2x 2x 2x 2x 2x 2x 5
816:2x 2x 2x 2x 3x 17
170:2x 5x 17
537:3x 179
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 2x 3x 5x 17 = 8160
Therefore, the value for common factors is 8160.
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 = 15780520857600/(1x8160)
LCM = 15780520857600/8160
LCM = 1933887360
Thus, we can understand that the LCM of 331,640,816,170,537 is 1933887360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 331, 640, 816, 170, 537?
Answer: LCM of 331, 640, 816, 170, 537 is 1933887360.
2. How to calculate the LCM of 331, 640, 816, 170, 537?
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 331, 640, 816, 170, 537.
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}.