Find the LCM of 361, 861, 742, 221, 793 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 361, 861, 742, 221, 793. So, keep reading to learn more.
Given numbers are 361,861,742,221,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,861,742,221,793 is 444158857506.
Find LCM of 361,861,742,221,793 with Prime Factorization
7 | 361, 861, 742, 221, 793 |
13 | 361, 123, 106, 221, 793 |
361, 123, 106, 17, 61 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 361 x 123 x 106 x 17 x 61 = 444158857506
Therefore, the lowest common multiple of 361,861,742,221,793 is 444158857506.
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.
361 x 861 x 742 x 221 x 793 = 40418456033046
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.
361 : 1, 19, 361
861 : 1, 3, 7, 21, 41, 123, 287, 861
742 : 1, 2, 7, 14, 53, 106, 371, 742
221 : 1, 13, 17, 221
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,861,742,221,793, is 1.
Now, the common factors can be found like this.
361:19x 19
861:3x 7x 41
742:2x 7x 53
221:13x 17
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13 = 91
Therefore, the value for common factors is 91.
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 = 40418456033046/(1x91)
LCM = 40418456033046/91
LCM = 444158857506
Thus, we can understand that the LCM of 361,861,742,221,793 is 444158857506.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 861, 742, 221, 793?
Answer: LCM of 361, 861, 742, 221, 793 is 444158857506.
2. How to calculate the LCM of 361, 861, 742, 221, 793?
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 361, 861, 742, 221, 793.
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}.