Find the LCM of 321, 223, 590, 406 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 321, 223, 590, 406. So, keep reading to learn more.
Given numbers are 321,223,590,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,223,590,406 is 8573495910.
Find LCM of 321,223,590,406 with Prime Factorization
2 | 321, 223, 590, 406 |
321, 223, 295, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 321 x 223 x 295 x 203 = 8573495910
Therefore, the lowest common multiple of 321,223,590,406 is 8573495910.
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.
321 x 223 x 590 x 406 = 17146991820
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.
321 : 1, 3, 107, 321
223 : 1, 223
590 : 1, 2, 5, 10, 59, 118, 295, 590
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,223,590,406, is 1.
Now, the common factors can be found like this.
321:3x 107
223:223
590:2x 5x 59
406:2x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 17146991820/(1x2)
LCM = 17146991820/2
LCM = 8573495910
Thus, we can understand that the LCM of 321,223,590,406 is 8573495910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 223, 590, 406?
Answer: LCM of 321, 223, 590, 406 is 8573495910.
2. How to calculate the LCM of 321, 223, 590, 406?
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 321, 223, 590, 406.
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}.