LCM of 681, 928, 609, 104, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 928, 609, 104, 610 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 681, 928, 609, 104, 610. So, keep reading to learn more.
Given numbers are 681,928,609,104,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,928,609,104,610 is 17540271840.
Find LCM of 681,928,609,104,610 with Prime Factorization
| 2 | 681, 928, 609, 104, 610 |
| 2 | 681, 464, 609, 52, 305 |
| 2 | 681, 232, 609, 26, 305 |
| 3 | 681, 116, 609, 13, 305 |
| 29 | 227, 116, 203, 13, 305 |
| 227, 4, 7, 13, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 227 x 4 x 7 x 13 x 305 = 17540271840
Therefore, the lowest common multiple of 681,928,609,104,610 is 17540271840.
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.
681 x 928 x 609 x 104 x 610 = 24416058401280
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.
681 : 1, 3, 227, 681
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
609 : 1, 3, 7, 21, 29, 87, 203, 609
104 : 1, 2, 4, 8, 13, 26, 52, 104
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,928,609,104,610, is 1.
Now, the common factors can be found like this.
681:3x 227
928:2x 2x 2x 2x 2x 29
609:3x 7x 29
104:2x 2x 2x 13
610:2x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 29 = 1392
Therefore, the value for common factors is 1392.
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 = 24416058401280/(1x1392)
LCM = 24416058401280/1392
LCM = 17540271840
Thus, we can understand that the LCM of 681,928,609,104,610 is 17540271840.
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FAQs on LCM of 681, 928, 609, 104, 610
1. What is the LCM of 681, 928, 609, 104, 610?
Answer: LCM of 681, 928, 609, 104, 610 is 17540271840.
2. How to calculate the LCM of 681, 928, 609, 104, 610?
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 681, 928, 609, 104, 610.
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}.