Find the LCM of 443, 114, 646, 204, 403 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 443, 114, 646, 204, 403. So, keep reading to learn more.
Given numbers are 443,114,646,204,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,114,646,204,403 is 691978404.
Find LCM of 443,114,646,204,403 with Prime Factorization
2 | 443, 114, 646, 204, 403 |
3 | 443, 57, 323, 102, 403 |
17 | 443, 19, 323, 34, 403 |
19 | 443, 19, 19, 2, 403 |
443, 1, 1, 2, 403 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 443 x 1 x 1 x 2 x 403 = 691978404
Therefore, the lowest common multiple of 443,114,646,204,403 is 691978404.
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.
443 x 114 x 646 x 204 x 403 = 2682108293904
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.
443 : 1, 443
114 : 1, 2, 3, 6, 19, 38, 57, 114
646 : 1, 2, 17, 19, 34, 38, 323, 646
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,114,646,204,403, is 1.
Now, the common factors can be found like this.
443:443
114:2x 3x 19
646:2x 17x 19
204:2x 2x 3x 17
403:13x 31
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 3x 17x 19 = 3876
Therefore, the value for common factors is 3876.
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 = 2682108293904/(1x3876)
LCM = 2682108293904/3876
LCM = 691978404
Thus, we can understand that the LCM of 443,114,646,204,403 is 691978404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 443, 114, 646, 204, 403?
Answer: LCM of 443, 114, 646, 204, 403 is 691978404.
2. How to calculate the LCM of 443, 114, 646, 204, 403?
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 443, 114, 646, 204, 403.
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}.