LCM of 812, 793, 319, 858, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 793, 319, 858, 231 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 812, 793, 319, 858, 231. So, keep reading to learn more.
Given numbers are 812,793,319,858,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,793,319,858,231 is 21249228.
Find LCM of 812,793,319,858,231 with Prime Factorization
| 2 | 812, 793, 319, 858, 231 |
| 3 | 406, 793, 319, 429, 231 |
| 7 | 406, 793, 319, 143, 77 |
| 11 | 58, 793, 319, 143, 11 |
| 13 | 58, 793, 29, 13, 1 |
| 29 | 58, 61, 29, 1, 1 |
| 2, 61, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 29 x 2 x 61 x 1 x 1 x 1 = 21249228
Therefore, the lowest common multiple of 812,793,319,858,231 is 21249228.
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.
812 x 793 x 319 x 858 x 231 = 40711693414392
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
793 : 1, 13, 61, 793
319 : 1, 11, 29, 319
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,793,319,858,231, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
793:13x 61
319:11x 29
858:2x 3x 11x 13
231:3x 7x 11
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 7x 11x 11x 13x 29 = 1915914
Therefore, the value for common factors is 1915914.
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 = 40711693414392/(1x1915914)
LCM = 40711693414392/1915914
LCM = 21249228
Thus, we can understand that the LCM of 812,793,319,858,231 is 21249228.
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FAQs on LCM of 812, 793, 319, 858, 231
1. What is the LCM of 812, 793, 319, 858, 231?
Answer: LCM of 812, 793, 319, 858, 231 is 21249228.
2. How to calculate the LCM of 812, 793, 319, 858, 231?
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 812, 793, 319, 858, 231.
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}.