Find the LCM of 896, 128, 646, 442 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 896, 128, 646, 442. So, keep reading to learn more.
Given numbers are 896,128,646,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,128,646,442 is 3762304.
Find LCM of 896,128,646,442 with Prime Factorization
2 | 896, 128, 646, 442 |
2 | 448, 64, 323, 221 |
2 | 224, 32, 323, 221 |
2 | 112, 16, 323, 221 |
2 | 56, 8, 323, 221 |
2 | 28, 4, 323, 221 |
2 | 14, 2, 323, 221 |
17 | 7, 1, 323, 221 |
7, 1, 19, 13 |
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 17 x 7 x 1 x 19 x 13 = 3762304
Therefore, the lowest common multiple of 896,128,646,442 is 3762304.
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.
896 x 128 x 646 x 442 = 32747094016
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
128 : 1, 2, 4, 8, 16, 32, 64, 128
646 : 1, 2, 17, 19, 34, 38, 323, 646
442 : 1, 2, 13, 17, 26, 34, 221, 442
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,128,646,442, is 2.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
128:2x 2x 2x 2x 2x 2x 2
646:2x 17x 19
442:2x 13x 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 2x 17 = 4352
Therefore, the value for common factors is 4352.
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 = 32747094016/(2x4352)
LCM = 32747094016/8704
LCM = 3762304
Thus, we can understand that the LCM of 896,128,646,442 is 3762304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 896, 128, 646, 442?
Answer: LCM of 896, 128, 646, 442 is 3762304.
2. How to calculate the LCM of 896, 128, 646, 442?
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 896, 128, 646, 442.
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}.