LCM of 401, 610, 671, 413, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 610, 671, 413, 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 401, 610, 671, 413, 793. So, keep reading to learn more.
Given numbers are 401,610,671,413,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,610,671,413,793 is 14446421990.
Find LCM of 401,610,671,413,793 with Prime Factorization
| 61 | 401, 610, 671, 413, 793 |
| 401, 10, 11, 413, 13 |
Multiply the prime numbers at the bottom and the left side.
61 x 401 x 10 x 11 x 413 x 13 = 14446421990
Therefore, the lowest common multiple of 401,610,671,413,793 is 14446421990.
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.
401 x 610 x 671 x 413 x 793 = 53755136224790
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.
401 : 1, 401
610 : 1, 2, 5, 10, 61, 122, 305, 610
671 : 1, 11, 61, 671
413 : 1, 7, 59, 413
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,610,671,413,793, is 1.
Now, the common factors can be found like this.
401:401
610:2x 5x 61
671:11x 61
413:7x 59
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.
61x 61 = 3721
Therefore, the value for common factors is 3721.
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 = 53755136224790/(1x3721)
LCM = 53755136224790/3721
LCM = 14446421990
Thus, we can understand that the LCM of 401,610,671,413,793 is 14446421990.
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FAQs on LCM of 401, 610, 671, 413, 793
1. What is the LCM of 401, 610, 671, 413, 793?
Answer: LCM of 401, 610, 671, 413, 793 is 14446421990.
2. How to calculate the LCM of 401, 610, 671, 413, 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 401, 610, 671, 413, 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}.