Find the LCM of 104, 555, 404, 794, 101 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 104, 555, 404, 794, 101. So, keep reading to learn more.
Given numbers are 104,555,404,794,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,555,404,794,101 is 2314398840.
Find LCM of 104,555,404,794,101 with Prime Factorization
2 | 104, 555, 404, 794, 101 |
2 | 52, 555, 202, 397, 101 |
101 | 26, 555, 101, 397, 101 |
26, 555, 1, 397, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 101 x 26 x 555 x 1 x 397 x 1 = 2314398840
Therefore, the lowest common multiple of 104,555,404,794,101 is 2314398840.
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.
104 x 555 x 404 x 794 x 101 = 1870034262720
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
555 : 1, 3, 5, 15, 37, 111, 185, 555
404 : 1, 2, 4, 101, 202, 404
794 : 1, 2, 397, 794
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,555,404,794,101, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
555:3x 5x 37
404:2x 2x 101
794:2x 397
101:101
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 101 = 808
Therefore, the value for common factors is 808.
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 = 1870034262720/(1x808)
LCM = 1870034262720/808
LCM = 2314398840
Thus, we can understand that the LCM of 104,555,404,794,101 is 2314398840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 104, 555, 404, 794, 101?
Answer: LCM of 104, 555, 404, 794, 101 is 2314398840.
2. How to calculate the LCM of 104, 555, 404, 794, 101?
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 104, 555, 404, 794, 101.
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}.