LCM of 311, 571, 869, 902, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 571, 869, 902, 585 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 311, 571, 869, 902, 585. So, keep reading to learn more.
Given numbers are 311,571,869,902,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,571,869,902,585 is 7402629135330.
Find LCM of 311,571,869,902,585 with Prime Factorization
| 11 | 311, 571, 869, 902, 585 |
| 311, 571, 79, 82, 585 |
Multiply the prime numbers at the bottom and the left side.
11 x 311 x 571 x 79 x 82 x 585 = 7402629135330
Therefore, the lowest common multiple of 311,571,869,902,585 is 7402629135330.
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.
311 x 571 x 869 x 902 x 585 = 81428920488630
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.
311 : 1, 311
571 : 1, 571
869 : 1, 11, 79, 869
902 : 1, 2, 11, 22, 41, 82, 451, 902
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,571,869,902,585, is 1.
Now, the common factors can be found like this.
311:311
571:571
869:11x 79
902:2x 11x 41
585:3x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 81428920488630/(1x11)
LCM = 81428920488630/11
LCM = 7402629135330
Thus, we can understand that the LCM of 311,571,869,902,585 is 7402629135330.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 311, 571, 869, 902, 585
1. What is the LCM of 311, 571, 869, 902, 585?
Answer: LCM of 311, 571, 869, 902, 585 is 7402629135330.
2. How to calculate the LCM of 311, 571, 869, 902, 585?
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 311, 571, 869, 902, 585.
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}.