LCM of 404, 726, 817, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 726, 817, 855 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, 726, 817, 855. So, keep reading to learn more.
Given numbers are 404,726,817,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,726,817,855 is 1797220260.
Find LCM of 404,726,817,855 with Prime Factorization
| 2 | 404, 726, 817, 855 |
| 3 | 202, 363, 817, 855 |
| 19 | 202, 121, 817, 285 |
| 202, 121, 43, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 202 x 121 x 43 x 15 = 1797220260
Therefore, the lowest common multiple of 404,726,817,855 is 1797220260.
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 726 x 817 x 855 = 204883109640
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
817 : 1, 19, 43, 817
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,726,817,855, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
726:2x 3x 11x 11
817:19x 43
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 204883109640/(1x114)
LCM = 204883109640/114
LCM = 1797220260
Thus, we can understand that the LCM of 404,726,817,855 is 1797220260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 404, 726, 817, 855
1. What is the LCM of 404, 726, 817, 855?
Answer: LCM of 404, 726, 817, 855 is 1797220260.
2. How to calculate the LCM of 404, 726, 817, 855?
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, 726, 817, 855.
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}.