Find the LCM of 609, 311, 487, 790, 921 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 609, 311, 487, 790, 921. So, keep reading to learn more.
Given numbers are 609,311,487,790,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,311,487,790,921 is 22370315521890.
Find LCM of 609,311,487,790,921 with Prime Factorization
3 | 609, 311, 487, 790, 921 |
203, 311, 487, 790, 307 |
Multiply the prime numbers at the bottom and the left side.
3 x 203 x 311 x 487 x 790 x 307 = 22370315521890
Therefore, the lowest common multiple of 609,311,487,790,921 is 22370315521890.
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.
609 x 311 x 487 x 790 x 921 = 67110946565670
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
311 : 1, 311
487 : 1, 487
790 : 1, 2, 5, 10, 79, 158, 395, 790
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,311,487,790,921, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
311:311
487:487
790:2x 5x 79
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 67110946565670/(1x3)
LCM = 67110946565670/3
LCM = 22370315521890
Thus, we can understand that the LCM of 609,311,487,790,921 is 22370315521890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 609, 311, 487, 790, 921?
Answer: LCM of 609, 311, 487, 790, 921 is 22370315521890.
2. How to calculate the LCM of 609, 311, 487, 790, 921?
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 609, 311, 487, 790, 921.
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}.