Find the LCM of 128, 486, 442, 384, 602 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 128, 486, 442, 384, 602. So, keep reading to learn more.
Given numbers are 128,486,442,384,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,486,442,384,602 is 2069069184.
Find LCM of 128,486,442,384,602 with Prime Factorization
2 | 128, 486, 442, 384, 602 |
2 | 64, 243, 221, 192, 301 |
2 | 32, 243, 221, 96, 301 |
2 | 16, 243, 221, 48, 301 |
2 | 8, 243, 221, 24, 301 |
2 | 4, 243, 221, 12, 301 |
2 | 2, 243, 221, 6, 301 |
3 | 1, 243, 221, 3, 301 |
1, 81, 221, 1, 301 |
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 1 x 81 x 221 x 1 x 301 = 2069069184
Therefore, the lowest common multiple of 128,486,442,384,602 is 2069069184.
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.
128 x 486 x 442 x 384 x 602 = 6356180533248
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
442 : 1, 2, 13, 17, 26, 34, 221, 442
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
602 : 1, 2, 7, 14, 43, 86, 301, 602
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,486,442,384,602, is 2.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
486:2x 3x 3x 3x 3x 3
442:2x 13x 17
384:2x 2x 2x 2x 2x 2x 2x 3
602:2x 7x 43
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 = 6356180533248/(2x1536)
LCM = 6356180533248/3072
LCM = 2069069184
Thus, we can understand that the LCM of 128,486,442,384,602 is 2069069184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 128, 486, 442, 384, 602?
Answer: LCM of 128, 486, 442, 384, 602 is 2069069184.
2. How to calculate the LCM of 128, 486, 442, 384, 602?
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 128, 486, 442, 384, 602.
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}.