Find the LCM of 428, 782, 667, 580, 667 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 428, 782, 667, 580, 667. So, keep reading to learn more.
Given numbers are 428,782,667,580,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,782,667,580,667 is 24265460.
Find LCM of 428,782,667,580,667 with Prime Factorization
2 | 428, 782, 667, 580, 667 |
2 | 214, 391, 667, 290, 667 |
23 | 107, 391, 667, 145, 667 |
29 | 107, 17, 29, 145, 29 |
107, 17, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 29 x 107 x 17 x 1 x 5 x 1 = 24265460
Therefore, the lowest common multiple of 428,782,667,580,667 is 24265460.
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.
428 x 782 x 667 x 580 x 667 = 86363489871520
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.
428 : 1, 2, 4, 107, 214, 428
782 : 1, 2, 17, 23, 34, 46, 391, 782
667 : 1, 23, 29, 667
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,782,667,580,667, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
782:2x 17x 23
667:23x 29
580:2x 2x 5x 29
667:23x 29
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 23x 23x 29x 29 = 3559112
Therefore, the value for common factors is 3559112.
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 = 86363489871520/(1x3559112)
LCM = 86363489871520/3559112
LCM = 24265460
Thus, we can understand that the LCM of 428,782,667,580,667 is 24265460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 428, 782, 667, 580, 667?
Answer: LCM of 428, 782, 667, 580, 667 is 24265460.
2. How to calculate the LCM of 428, 782, 667, 580, 667?
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 428, 782, 667, 580, 667.
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}.