Find the LCM of 853, 403, 413, 442 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 853, 403, 413, 442. So, keep reading to learn more.
Given numbers are 853,403,413,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,403,413,442 is 4827063878.
Find LCM of 853,403,413,442 with Prime Factorization
13 | 853, 403, 413, 442 |
853, 31, 413, 34 |
Multiply the prime numbers at the bottom and the left side.
13 x 853 x 31 x 413 x 34 = 4827063878
Therefore, the lowest common multiple of 853,403,413,442 is 4827063878.
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.
853 x 403 x 413 x 442 = 62751830414
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.
853 : 1, 853
403 : 1, 13, 31, 403
413 : 1, 7, 59, 413
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,403,413,442, is 1.
Now, the common factors can be found like this.
853:853
403:13x 31
413:7x 59
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 62751830414/(1x13)
LCM = 62751830414/13
LCM = 4827063878
Thus, we can understand that the LCM of 853,403,413,442 is 4827063878.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 853, 403, 413, 442?
Answer: LCM of 853, 403, 413, 442 is 4827063878.
2. How to calculate the LCM of 853, 403, 413, 442?
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 853, 403, 413, 442.
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}.