LCM of 800, 508, 855, 417, 127
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 508, 855, 417, 127 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 800, 508, 855, 417, 127. So, keep reading to learn more.
Given numbers are 800,508,855,417,127
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,508,855,417,127 is 2414930400.
Find LCM of 800,508,855,417,127 with Prime Factorization
| 2 | 800, 508, 855, 417, 127 |
| 2 | 400, 254, 855, 417, 127 |
| 3 | 200, 127, 855, 417, 127 |
| 5 | 200, 127, 285, 139, 127 |
| 127 | 40, 127, 57, 139, 127 |
| 40, 1, 57, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 127 x 40 x 1 x 57 x 139 x 1 = 2414930400
Therefore, the lowest common multiple of 800,508,855,417,127 is 2414930400.
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.
800 x 508 x 855 x 417 x 127 = 18401769648000
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
508 : 1, 2, 4, 127, 254, 508
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
417 : 1, 3, 139, 417
127 : 1, 127
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,508,855,417,127, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
508:2x 2x 127
855:3x 3x 5x 19
417:3x 139
127:127
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 5x 127 = 7620
Therefore, the value for common factors is 7620.
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 = 18401769648000/(1x7620)
LCM = 18401769648000/7620
LCM = 2414930400
Thus, we can understand that the LCM of 800,508,855,417,127 is 2414930400.
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FAQs on LCM of 800, 508, 855, 417, 127
1. What is the LCM of 800, 508, 855, 417, 127?
Answer: LCM of 800, 508, 855, 417, 127 is 2414930400.
2. How to calculate the LCM of 800, 508, 855, 417, 127?
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 800, 508, 855, 417, 127.
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}.