Find the LCM of 358, 884, 481, 723, 615 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 358, 884, 481, 723, 615. So, keep reading to learn more.
Given numbers are 358,884,481,723,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,884,481,723,615 is 867759103380.
Find LCM of 358,884,481,723,615 with Prime Factorization
2 | 358, 884, 481, 723, 615 |
3 | 179, 442, 481, 723, 615 |
13 | 179, 442, 481, 241, 205 |
179, 34, 37, 241, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 179 x 34 x 37 x 241 x 205 = 867759103380
Therefore, the lowest common multiple of 358,884,481,723,615 is 867759103380.
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.
358 x 884 x 481 x 723 x 615 = 67685210063640
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.
358 : 1, 2, 179, 358
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
481 : 1, 13, 37, 481
723 : 1, 3, 241, 723
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,884,481,723,615, is 1.
Now, the common factors can be found like this.
358:2x 179
884:2x 2x 13x 17
481:13x 37
723:3x 241
615:3x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13 = 78
Therefore, the value for common factors is 78.
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 = 67685210063640/(1x78)
LCM = 67685210063640/78
LCM = 867759103380
Thus, we can understand that the LCM of 358,884,481,723,615 is 867759103380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 884, 481, 723, 615?
Answer: LCM of 358, 884, 481, 723, 615 is 867759103380.
2. How to calculate the LCM of 358, 884, 481, 723, 615?
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 358, 884, 481, 723, 615.
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}.