LCM of 281, 738, 858, 969, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 738, 858, 969, 793 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 281, 738, 858, 969, 793. So, keep reading to learn more.
Given numbers are 281,738,858,969,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,738,858,969,793 is 584293528962.
Find LCM of 281,738,858,969,793 with Prime Factorization
| 2 | 281, 738, 858, 969, 793 |
| 3 | 281, 369, 429, 969, 793 |
| 13 | 281, 123, 143, 323, 793 |
| 281, 123, 11, 323, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 281 x 123 x 11 x 323 x 61 = 584293528962
Therefore, the lowest common multiple of 281,738,858,969,793 is 584293528962.
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.
281 x 738 x 858 x 969 x 793 = 136724685777108
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.
281 : 1, 281
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
969 : 1, 3, 17, 19, 51, 57, 323, 969
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,738,858,969,793, is 1.
Now, the common factors can be found like this.
281:281
738:2x 3x 3x 41
858:2x 3x 11x 13
969:3x 17x 19
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 136724685777108/(1x234)
LCM = 136724685777108/234
LCM = 584293528962
Thus, we can understand that the LCM of 281,738,858,969,793 is 584293528962.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 281, 738, 858, 969, 793
1. What is the LCM of 281, 738, 858, 969, 793?
Answer: LCM of 281, 738, 858, 969, 793 is 584293528962.
2. How to calculate the LCM of 281, 738, 858, 969, 793?
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 281, 738, 858, 969, 793.
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}.