LCM of 584, 793, 469, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 793, 469, 871 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 584, 793, 469, 871. So, keep reading to learn more.
Given numbers are 584,793,469,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,793,469,871 is 217199528.
Find LCM of 584,793,469,871 with Prime Factorization
| 13 | 584, 793, 469, 871 |
| 67 | 584, 61, 469, 67 |
| 584, 61, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 67 x 584 x 61 x 7 x 1 = 217199528
Therefore, the lowest common multiple of 584,793,469,871 is 217199528.
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.
584 x 793 x 469 x 871 = 189180788888
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
793 : 1, 13, 61, 793
469 : 1, 7, 67, 469
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,793,469,871, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
793:13x 61
469:7x 67
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 67 = 871
Therefore, the value for common factors is 871.
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 = 189180788888/(1x871)
LCM = 189180788888/871
LCM = 217199528
Thus, we can understand that the LCM of 584,793,469,871 is 217199528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 584, 793, 469, 871
1. What is the LCM of 584, 793, 469, 871?
Answer: LCM of 584, 793, 469, 871 is 217199528.
2. How to calculate the LCM of 584, 793, 469, 871?
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 584, 793, 469, 871.
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}.