LCM of 418, 442, 438, 681, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 442, 438, 681, 255 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 418, 442, 438, 681, 255. So, keep reading to learn more.
Given numbers are 418,442,438,681,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,442,438,681,255 is 22961937570.
Find LCM of 418,442,438,681,255 with Prime Factorization
| 2 | 418, 442, 438, 681, 255 |
| 3 | 209, 221, 219, 681, 255 |
| 17 | 209, 221, 73, 227, 85 |
| 209, 13, 73, 227, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 209 x 13 x 73 x 227 x 5 = 22961937570
Therefore, the lowest common multiple of 418,442,438,681,255 is 22961937570.
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.
418 x 442 x 438 x 681 x 255 = 14052705792840
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
442 : 1, 2, 13, 17, 26, 34, 221, 442
438 : 1, 2, 3, 6, 73, 146, 219, 438
681 : 1, 3, 227, 681
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,442,438,681,255, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
442:2x 13x 17
438:2x 3x 73
681:3x 227
255:3x 5x 17
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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 14052705792840/(1x612)
LCM = 14052705792840/612
LCM = 22961937570
Thus, we can understand that the LCM of 418,442,438,681,255 is 22961937570.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 418, 442, 438, 681, 255
1. What is the LCM of 418, 442, 438, 681, 255?
Answer: LCM of 418, 442, 438, 681, 255 is 22961937570.
2. How to calculate the LCM of 418, 442, 438, 681, 255?
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 418, 442, 438, 681, 255.
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}.