Find the LCM of 520, 920, 864, 323, 306 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 520, 920, 864, 323, 306. So, keep reading to learn more.
Given numbers are 520,920,864,323,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,920,864,323,306 is 417212640.
Find LCM of 520,920,864,323,306 with Prime Factorization
2 | 520, 920, 864, 323, 306 |
2 | 260, 460, 432, 323, 153 |
2 | 130, 230, 216, 323, 153 |
3 | 65, 115, 108, 323, 153 |
3 | 65, 115, 36, 323, 51 |
5 | 65, 115, 12, 323, 17 |
17 | 13, 23, 12, 323, 17 |
13, 23, 12, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 17 x 13 x 23 x 12 x 19 x 1 = 417212640
Therefore, the lowest common multiple of 520,920,864,323,306 is 417212640.
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.
520 x 920 x 864 x 323 x 306 = 40853461708800
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
323 : 1, 17, 19, 323
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,920,864,323,306, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
920:2x 2x 2x 5x 23
864:2x 2x 2x 2x 2x 3x 3x 3
323:17x 19
306:2x 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 2x 2x 2x 3x 3x 5x 17 = 97920
Therefore, the value for common factors is 97920.
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 = 40853461708800/(1x97920)
LCM = 40853461708800/97920
LCM = 417212640
Thus, we can understand that the LCM of 520,920,864,323,306 is 417212640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 520, 920, 864, 323, 306?
Answer: LCM of 520, 920, 864, 323, 306 is 417212640.
2. How to calculate the LCM of 520, 920, 864, 323, 306?
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 520, 920, 864, 323, 306.
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}.