Find the LCM of 455, 667, 897, 284 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 455, 667, 897, 284. So, keep reading to learn more.
Given numbers are 455,667,897,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,667,897,284 is 258569220.
Find LCM of 455,667,897,284 with Prime Factorization
13 | 455, 667, 897, 284 |
23 | 35, 667, 69, 284 |
35, 29, 3, 284 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 35 x 29 x 3 x 284 = 258569220
Therefore, the lowest common multiple of 455,667,897,284 is 258569220.
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.
455 x 667 x 897 x 284 = 77312196780
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
667 : 1, 23, 29, 667
897 : 1, 3, 13, 23, 39, 69, 299, 897
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,667,897,284, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
667:23x 29
897:3x 13x 23
284:2x 2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23 = 299
Therefore, the value for common factors is 299.
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 = 77312196780/(1x299)
LCM = 77312196780/299
LCM = 258569220
Thus, we can understand that the LCM of 455,667,897,284 is 258569220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 455, 667, 897, 284?
Answer: LCM of 455, 667, 897, 284 is 258569220.
2. How to calculate the LCM of 455, 667, 897, 284?
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 455, 667, 897, 284.
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}.