Find the LCM of 729, 326, 361, 192, 815 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 729, 326, 361, 192, 815. So, keep reading to learn more.
Given numbers are 729,326,361,192,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,326,361,192,815 is 13726895040.
Find LCM of 729,326,361,192,815 with Prime Factorization
2 | 729, 326, 361, 192, 815 |
3 | 729, 163, 361, 96, 815 |
163 | 243, 163, 361, 32, 815 |
243, 1, 361, 32, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 243 x 1 x 361 x 32 x 5 = 13726895040
Therefore, the lowest common multiple of 729,326,361,192,815 is 13726895040.
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.
729 x 326 x 361 x 192 x 815 = 13424903349120
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.
729 : 1, 3, 9, 27, 81, 243, 729
326 : 1, 2, 163, 326
361 : 1, 19, 361
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,326,361,192,815, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
326:2x 163
361:19x 19
192:2x 2x 2x 2x 2x 2x 3
815:5x 163
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 163 = 978
Therefore, the value for common factors is 978.
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 = 13424903349120/(1x978)
LCM = 13424903349120/978
LCM = 13726895040
Thus, we can understand that the LCM of 729,326,361,192,815 is 13726895040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 326, 361, 192, 815?
Answer: LCM of 729, 326, 361, 192, 815 is 13726895040.
2. How to calculate the LCM of 729, 326, 361, 192, 815?
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 729, 326, 361, 192, 815.
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}.