Find the LCM of 563, 406, 644, 406, 873 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 563, 406, 644, 406, 873. So, keep reading to learn more.
Given numbers are 563,406,644,406,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,406,644,406,873 is 9179235324.
Find LCM of 563,406,644,406,873 with Prime Factorization
2 | 563, 406, 644, 406, 873 |
7 | 563, 203, 322, 203, 873 |
29 | 563, 29, 46, 29, 873 |
563, 1, 46, 1, 873 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 563 x 1 x 46 x 1 x 873 = 9179235324
Therefore, the lowest common multiple of 563,406,644,406,873 is 9179235324.
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.
563 x 406 x 644 x 406 x 873 = 52174773581616
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.
563 : 1, 563
406 : 1, 2, 7, 14, 29, 58, 203, 406
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
406 : 1, 2, 7, 14, 29, 58, 203, 406
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,406,644,406,873, is 1.
Now, the common factors can be found like this.
563:563
406:2x 7x 29
644:2x 2x 7x 23
406:2x 7x 29
873:3x 3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 7x 29 = 5684
Therefore, the value for common factors is 5684.
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 = 52174773581616/(1x5684)
LCM = 52174773581616/5684
LCM = 9179235324
Thus, we can understand that the LCM of 563,406,644,406,873 is 9179235324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 406, 644, 406, 873?
Answer: LCM of 563, 406, 644, 406, 873 is 9179235324.
2. How to calculate the LCM of 563, 406, 644, 406, 873?
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 563, 406, 644, 406, 873.
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}.