Find the LCM of 404, 363, 428, 165, 954 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, 363, 428, 165, 954. So, keep reading to learn more.
Given numbers are 404,363,428,165,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,363,428,165,954 is 12474952380.
Find LCM of 404,363,428,165,954 with Prime Factorization
2 | 404, 363, 428, 165, 954 |
2 | 202, 363, 214, 165, 477 |
3 | 101, 363, 107, 165, 477 |
11 | 101, 121, 107, 55, 159 |
101, 11, 107, 5, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 101 x 11 x 107 x 5 x 159 = 12474952380
Therefore, the lowest common multiple of 404,363,428,165,954 is 12474952380.
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 363 x 428 x 165 x 954 = 9880162284960
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
363 : 1, 3, 11, 33, 121, 363
428 : 1, 2, 4, 107, 214, 428
165 : 1, 3, 5, 11, 15, 33, 55, 165
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,363,428,165,954, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
363:3x 11x 11
428:2x 2x 107
165:3x 5x 11
954:2x 3x 3x 53
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 9880162284960/(1x792)
LCM = 9880162284960/792
LCM = 12474952380
Thus, we can understand that the LCM of 404,363,428,165,954 is 12474952380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 404, 363, 428, 165, 954?
Answer: LCM of 404, 363, 428, 165, 954 is 12474952380.
2. How to calculate the LCM of 404, 363, 428, 165, 954?
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, 363, 428, 165, 954.
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}.