Find the LCM of 596, 394, 133, 864, 482 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 596, 394, 133, 864, 482. So, keep reading to learn more.
Given numbers are 596,394,133,864,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,394,133,864,482 is 812895876576.
Find LCM of 596,394,133,864,482 with Prime Factorization
2 | 596, 394, 133, 864, 482 |
2 | 298, 197, 133, 432, 241 |
149, 197, 133, 216, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 149 x 197 x 133 x 216 x 241 = 812895876576
Therefore, the lowest common multiple of 596,394,133,864,482 is 812895876576.
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.
596 x 394 x 133 x 864 x 482 = 13006334025216
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.
596 : 1, 2, 4, 149, 298, 596
394 : 1, 2, 197, 394
133 : 1, 7, 19, 133
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
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,394,133,864,482, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
394:2x 197
133:7x 19
864:2x 2x 2x 2x 2x 3x 3x 3
482:2x 241
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 2 = 16
Therefore, the value for common factors is 16.
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 = 13006334025216/(1x16)
LCM = 13006334025216/16
LCM = 812895876576
Thus, we can understand that the LCM of 596,394,133,864,482 is 812895876576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 596, 394, 133, 864, 482?
Answer: LCM of 596, 394, 133, 864, 482 is 812895876576.
2. How to calculate the LCM of 596, 394, 133, 864, 482?
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 596, 394, 133, 864, 482.
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}.