LCM of 702, 550, 810, 809, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 550, 810, 809, 486 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 702, 550, 810, 809, 486. So, keep reading to learn more.
Given numbers are 702,550,810,809,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,550,810,809,486 is 1405597050.
Find LCM of 702,550,810,809,486 with Prime Factorization
| 2 | 702, 550, 810, 809, 486 |
| 3 | 351, 275, 405, 809, 243 |
| 3 | 117, 275, 135, 809, 81 |
| 3 | 39, 275, 45, 809, 27 |
| 3 | 13, 275, 15, 809, 9 |
| 5 | 13, 275, 5, 809, 3 |
| 13, 55, 1, 809, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 13 x 55 x 1 x 809 x 3 = 1405597050
Therefore, the lowest common multiple of 702,550,810,809,486 is 1405597050.
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.
702 x 550 x 810 x 809 x 486 = 122961629934000
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
809 : 1, 809
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,550,810,809,486, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
550:2x 5x 5x 11
810:2x 3x 3x 3x 3x 5
809:809
486:2x 3x 3x 3x 3x 3
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 3x 3x 3x 3x 3x 3x 3x 5 = 87480
Therefore, the value for common factors is 87480.
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 = 122961629934000/(1x87480)
LCM = 122961629934000/87480
LCM = 1405597050
Thus, we can understand that the LCM of 702,550,810,809,486 is 1405597050.
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FAQs on LCM of 702, 550, 810, 809, 486
1. What is the LCM of 702, 550, 810, 809, 486?
Answer: LCM of 702, 550, 810, 809, 486 is 1405597050.
2. How to calculate the LCM of 702, 550, 810, 809, 486?
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 702, 550, 810, 809, 486.
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}.