Find the LCM of 410, 920, 303, 214, 404 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 410, 920, 303, 214, 404. So, keep reading to learn more.
Given numbers are 410,920,303,214,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 410,920,303,214,404 is 1222920120.
Find LCM of 410,920,303,214,404 with Prime Factorization
2 | 410, 920, 303, 214, 404 |
2 | 205, 460, 303, 107, 202 |
5 | 205, 230, 303, 107, 101 |
101 | 41, 46, 303, 107, 101 |
41, 46, 3, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 101 x 41 x 46 x 3 x 107 x 1 = 1222920120
Therefore, the lowest common multiple of 410,920,303,214,404 is 1222920120.
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.
410 x 920 x 303 x 214 x 404 = 9881194569600
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.
410 : 1, 2, 5, 10, 41, 82, 205, 410
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
303 : 1, 3, 101, 303
214 : 1, 2, 107, 214
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,920,303,214,404, is 1.
Now, the common factors can be found like this.
410:2x 5x 41
920:2x 2x 2x 5x 23
303:3x 101
214:2x 107
404:2x 2x 101
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 2x 5x 101 = 8080
Therefore, the value for common factors is 8080.
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 = 9881194569600/(1x8080)
LCM = 9881194569600/8080
LCM = 1222920120
Thus, we can understand that the LCM of 410,920,303,214,404 is 1222920120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 410, 920, 303, 214, 404?
Answer: LCM of 410, 920, 303, 214, 404 is 1222920120.
2. How to calculate the LCM of 410, 920, 303, 214, 404?
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 410, 920, 303, 214, 404.
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}.