LCM of 827, 348, 339, 858, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 827, 348, 339, 858, 409 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 827, 348, 339, 858, 409. So, keep reading to learn more.
Given numbers are 827,348,339,858,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,348,339,858,409 is 1902052685676.
Find LCM of 827,348,339,858,409 with Prime Factorization
| 2 | 827, 348, 339, 858, 409 |
| 3 | 827, 174, 339, 429, 409 |
| 827, 58, 113, 143, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 827 x 58 x 113 x 143 x 409 = 1902052685676
Therefore, the lowest common multiple of 827,348,339,858,409 is 1902052685676.
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.
827 x 348 x 339 x 858 x 409 = 34236948342168
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.
827 : 1, 827
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
339 : 1, 3, 113, 339
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,348,339,858,409, is 1.
Now, the common factors can be found like this.
827:827
348:2x 2x 3x 29
339:3x 113
858:2x 3x 11x 13
409:409
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 3 = 18
Therefore, the value for common factors is 18.
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 = 34236948342168/(1x18)
LCM = 34236948342168/18
LCM = 1902052685676
Thus, we can understand that the LCM of 827,348,339,858,409 is 1902052685676.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 827, 348, 339, 858, 409
1. What is the LCM of 827, 348, 339, 858, 409?
Answer: LCM of 827, 348, 339, 858, 409 is 1902052685676.
2. How to calculate the LCM of 827, 348, 339, 858, 409?
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 827, 348, 339, 858, 409.
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}.