Find the LCM of 646, 384, 384, 316 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 646, 384, 384, 316. So, keep reading to learn more.
Given numbers are 646,384,384,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,384,384,316 is 9798528.
Find LCM of 646,384,384,316 with Prime Factorization
2 | 646, 384, 384, 316 |
2 | 323, 192, 192, 158 |
2 | 323, 96, 96, 79 |
2 | 323, 48, 48, 79 |
2 | 323, 24, 24, 79 |
2 | 323, 12, 12, 79 |
2 | 323, 6, 6, 79 |
3 | 323, 3, 3, 79 |
323, 1, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 323 x 1 x 1 x 79 = 9798528
Therefore, the lowest common multiple of 646,384,384,316 is 9798528.
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.
646 x 384 x 384 x 316 = 30101078016
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
316 : 1, 2, 4, 79, 158, 316
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,384,384,316, is 2.
Now, the common factors can be found like this.
646:2x 17x 19
384:2x 2x 2x 2x 2x 2x 2x 3
384:2x 2x 2x 2x 2x 2x 2x 3
316:2x 2x 79
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 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 30101078016/(2x1536)
LCM = 30101078016/3072
LCM = 9798528
Thus, we can understand that the LCM of 646,384,384,316 is 9798528.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 646, 384, 384, 316?
Answer: LCM of 646, 384, 384, 316 is 9798528.
2. How to calculate the LCM of 646, 384, 384, 316?
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 646, 384, 384, 316.
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}.