LCM of 814, 306, 693, 347, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 306, 693, 347, 413 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 814, 306, 693, 347, 413. So, keep reading to learn more.
Given numbers are 814,306,693,347,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,306,693,347,413 is 17848238562.
Find LCM of 814,306,693,347,413 with Prime Factorization
| 2 | 814, 306, 693, 347, 413 |
| 3 | 407, 153, 693, 347, 413 |
| 3 | 407, 51, 231, 347, 413 |
| 7 | 407, 17, 77, 347, 413 |
| 11 | 407, 17, 11, 347, 59 |
| 37, 17, 1, 347, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 37 x 17 x 1 x 347 x 59 = 17848238562
Therefore, the lowest common multiple of 814,306,693,347,413 is 17848238562.
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.
814 x 306 x 693 x 347 x 413 = 24737658646932
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
347 : 1, 347
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,306,693,347,413, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
306:2x 3x 3x 17
693:3x 3x 7x 11
347:347
413:7x 59
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 3x 7x 11 = 1386
Therefore, the value for common factors is 1386.
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 = 24737658646932/(1x1386)
LCM = 24737658646932/1386
LCM = 17848238562
Thus, we can understand that the LCM of 814,306,693,347,413 is 17848238562.
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FAQs on LCM of 814, 306, 693, 347, 413
1. What is the LCM of 814, 306, 693, 347, 413?
Answer: LCM of 814, 306, 693, 347, 413 is 17848238562.
2. How to calculate the LCM of 814, 306, 693, 347, 413?
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 814, 306, 693, 347, 413.
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}.