Find the LCM of 404, 218, 443, 144, 578 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 404, 218, 443, 144, 578. So, keep reading to learn more.
Given numbers are 404,218,443,144,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,218,443,144,578 is 202960690992.
Find LCM of 404,218,443,144,578 with Prime Factorization
2 | 404, 218, 443, 144, 578 |
2 | 202, 109, 443, 72, 289 |
101, 109, 443, 36, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 101 x 109 x 443 x 36 x 289 = 202960690992
Therefore, the lowest common multiple of 404,218,443,144,578 is 202960690992.
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.
404 x 218 x 443 x 144 x 578 = 3247371055872
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.
404 : 1, 2, 4, 101, 202, 404
218 : 1, 2, 109, 218
443 : 1, 443
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,218,443,144,578, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
218:2x 109
443:443
144:2x 2x 2x 2x 3x 3
578:2x 17x 17
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 3247371055872/(1x16)
LCM = 3247371055872/16
LCM = 202960690992
Thus, we can understand that the LCM of 404,218,443,144,578 is 202960690992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 404, 218, 443, 144, 578?
Answer: LCM of 404, 218, 443, 144, 578 is 202960690992.
2. How to calculate the LCM of 404, 218, 443, 144, 578?
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 404, 218, 443, 144, 578.
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}.