Find the LCM of 609, 794, 133, 323, 685 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, 794, 133, 323, 685. So, keep reading to learn more.
Given numbers are 609,794,133,323,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,794,133,323,685 is 106986970230.
Find LCM of 609,794,133,323,685 with Prime Factorization
7 | 609, 794, 133, 323, 685 |
19 | 87, 794, 19, 323, 685 |
87, 794, 1, 17, 685 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 87 x 794 x 1 x 17 x 685 = 106986970230
Therefore, the lowest common multiple of 609,794,133,323,685 is 106986970230.
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 794 x 133 x 323 x 685 = 14229267040590
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
794 : 1, 2, 397, 794
133 : 1, 7, 19, 133
323 : 1, 17, 19, 323
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,794,133,323,685, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
794:2x 397
133:7x 19
323:17x 19
685:5x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19 = 133
Therefore, the value for common factors is 133.
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 = 14229267040590/(1x133)
LCM = 14229267040590/133
LCM = 106986970230
Thus, we can understand that the LCM of 609,794,133,323,685 is 106986970230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 609, 794, 133, 323, 685?
Answer: LCM of 609, 794, 133, 323, 685 is 106986970230.
2. How to calculate the LCM of 609, 794, 133, 323, 685?
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, 794, 133, 323, 685.
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}.