LCM of 424, 864, 922, 891, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 864, 922, 891, 280 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 424, 864, 922, 891, 280. So, keep reading to learn more.
Given numbers are 424,864,922,891,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,864,922,891,280 is 24382179360.
Find LCM of 424,864,922,891,280 with Prime Factorization
| 2 | 424, 864, 922, 891, 280 |
| 2 | 212, 432, 461, 891, 140 |
| 2 | 106, 216, 461, 891, 70 |
| 3 | 53, 108, 461, 891, 35 |
| 3 | 53, 36, 461, 297, 35 |
| 3 | 53, 12, 461, 99, 35 |
| 53, 4, 461, 33, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 53 x 4 x 461 x 33 x 35 = 24382179360
Therefore, the lowest common multiple of 424,864,922,891,280 is 24382179360.
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.
424 x 864 x 922 x 891 x 280 = 84264811868160
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
922 : 1, 2, 461, 922
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,864,922,891,280, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
864:2x 2x 2x 2x 2x 3x 3x 3
922:2x 461
891:3x 3x 3x 3x 11
280:2x 2x 2x 5x 7
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 2x 2x 2x 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 84264811868160/(1x3456)
LCM = 84264811868160/3456
LCM = 24382179360
Thus, we can understand that the LCM of 424,864,922,891,280 is 24382179360.
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FAQs on LCM of 424, 864, 922, 891, 280
1. What is the LCM of 424, 864, 922, 891, 280?
Answer: LCM of 424, 864, 922, 891, 280 is 24382179360.
2. How to calculate the LCM of 424, 864, 922, 891, 280?
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 424, 864, 922, 891, 280.
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}.