LCM of 793, 508, 858, 144, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 508, 858, 144, 399 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 793, 508, 858, 144, 399. So, keep reading to learn more.
Given numbers are 793,508,858,144,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,508,858,144,399 is 21216987792.
Find LCM of 793,508,858,144,399 with Prime Factorization
| 2 | 793, 508, 858, 144, 399 |
| 2 | 793, 254, 429, 72, 399 |
| 3 | 793, 127, 429, 36, 399 |
| 13 | 793, 127, 143, 12, 133 |
| 61, 127, 11, 12, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 61 x 127 x 11 x 12 x 133 = 21216987792
Therefore, the lowest common multiple of 793,508,858,144,399 is 21216987792.
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.
793 x 508 x 858 x 144 x 399 = 19859100573312
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.
793 : 1, 13, 61, 793
508 : 1, 2, 4, 127, 254, 508
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,508,858,144,399, is 1.
Now, the common factors can be found like this.
793:13x 61
508:2x 2x 127
858:2x 3x 11x 13
144:2x 2x 2x 2x 3x 3
399:3x 7x 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 2x 2x 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 19859100573312/(1x936)
LCM = 19859100573312/936
LCM = 21216987792
Thus, we can understand that the LCM of 793,508,858,144,399 is 21216987792.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 793, 508, 858, 144, 399
1. What is the LCM of 793, 508, 858, 144, 399?
Answer: LCM of 793, 508, 858, 144, 399 is 21216987792.
2. How to calculate the LCM of 793, 508, 858, 144, 399?
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 793, 508, 858, 144, 399.
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}.