LCM of 793, 361, 437, 234, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 361, 437, 234, 928 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, 361, 437, 234, 928. So, keep reading to learn more.
Given numbers are 793,361,437,234,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,361,437,234,928 is 54991898208.
Find LCM of 793,361,437,234,928 with Prime Factorization
| 2 | 793, 361, 437, 234, 928 |
| 13 | 793, 361, 437, 117, 464 |
| 19 | 61, 361, 437, 9, 464 |
| 61, 19, 23, 9, 464 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 61 x 19 x 23 x 9 x 464 = 54991898208
Therefore, the lowest common multiple of 793,361,437,234,928 is 54991898208.
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 361 x 437 x 234 x 928 = 27165997714752
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
361 : 1, 19, 361
437 : 1, 19, 23, 437
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,361,437,234,928, is 1.
Now, the common factors can be found like this.
793:13x 61
361:19x 19
437:19x 23
234:2x 3x 3x 13
928:2x 2x 2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 19 = 494
Therefore, the value for common factors is 494.
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 = 27165997714752/(1x494)
LCM = 27165997714752/494
LCM = 54991898208
Thus, we can understand that the LCM of 793,361,437,234,928 is 54991898208.
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, 361, 437, 234, 928
1. What is the LCM of 793, 361, 437, 234, 928?
Answer: LCM of 793, 361, 437, 234, 928 is 54991898208.
2. How to calculate the LCM of 793, 361, 437, 234, 928?
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, 361, 437, 234, 928.
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}.