LCM of 810, 340, 815, 153, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 340, 815, 153, 129 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 810, 340, 815, 153, 129. So, keep reading to learn more.
Given numbers are 810,340,815,153,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,340,815,153,129 is 193027860.
Find LCM of 810,340,815,153,129 with Prime Factorization
| 2 | 810, 340, 815, 153, 129 |
| 3 | 405, 170, 815, 153, 129 |
| 3 | 135, 170, 815, 51, 43 |
| 5 | 45, 170, 815, 17, 43 |
| 17 | 9, 34, 163, 17, 43 |
| 9, 2, 163, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 9 x 2 x 163 x 1 x 43 = 193027860
Therefore, the lowest common multiple of 810,340,815,153,129 is 193027860.
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.
810 x 340 x 815 x 153 x 129 = 4429989387000
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
815 : 1, 5, 163, 815
153 : 1, 3, 9, 17, 51, 153
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,340,815,153,129, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
340:2x 2x 5x 17
815:5x 163
153:3x 3x 17
129:3x 43
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 3x 5x 5x 17 = 22950
Therefore, the value for common factors is 22950.
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 = 4429989387000/(1x22950)
LCM = 4429989387000/22950
LCM = 193027860
Thus, we can understand that the LCM of 810,340,815,153,129 is 193027860.
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FAQs on LCM of 810, 340, 815, 153, 129
1. What is the LCM of 810, 340, 815, 153, 129?
Answer: LCM of 810, 340, 815, 153, 129 is 193027860.
2. How to calculate the LCM of 810, 340, 815, 153, 129?
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 810, 340, 815, 153, 129.
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}.