Find the LCM of 326, 717, 285, 642, 195 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 326, 717, 285, 642, 195. So, keep reading to learn more.
Given numbers are 326,717,285,642,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,717,285,642,195 is 30887836590.
Find LCM of 326,717,285,642,195 with Prime Factorization
2 | 326, 717, 285, 642, 195 |
3 | 163, 717, 285, 321, 195 |
5 | 163, 239, 95, 107, 65 |
163, 239, 19, 107, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 163 x 239 x 19 x 107 x 13 = 30887836590
Therefore, the lowest common multiple of 326,717,285,642,195 is 30887836590.
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.
326 x 717 x 285 x 642 x 195 = 8339715879300
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.
326 : 1, 2, 163, 326
717 : 1, 3, 239, 717
285 : 1, 3, 5, 15, 19, 57, 95, 285
642 : 1, 2, 3, 6, 107, 214, 321, 642
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,717,285,642,195, is 1.
Now, the common factors can be found like this.
326:2x 163
717:3x 239
285:3x 5x 19
642:2x 3x 107
195:3x 5x 13
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 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 8339715879300/(1x270)
LCM = 8339715879300/270
LCM = 30887836590
Thus, we can understand that the LCM of 326,717,285,642,195 is 30887836590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 326, 717, 285, 642, 195?
Answer: LCM of 326, 717, 285, 642, 195 is 30887836590.
2. How to calculate the LCM of 326, 717, 285, 642, 195?
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 326, 717, 285, 642, 195.
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}.