LCM of 459, 810, 341, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 810, 341, 828 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 459, 810, 341, 828. So, keep reading to learn more.
Given numbers are 459,810,341,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,810,341,828 is 215996220.
Find LCM of 459,810,341,828 with Prime Factorization
| 2 | 459, 810, 341, 828 |
| 3 | 459, 405, 341, 414 |
| 3 | 153, 135, 341, 138 |
| 3 | 51, 45, 341, 46 |
| 17, 15, 341, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 15 x 341 x 46 = 215996220
Therefore, the lowest common multiple of 459,810,341,828 is 215996220.
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.
459 x 810 x 341 x 828 = 104974162920
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
341 : 1, 11, 31, 341
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,810,341,828, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
810:2x 3x 3x 3x 3x 5
341:11x 31
828:2x 2x 3x 3x 23
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 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 104974162920/(1x486)
LCM = 104974162920/486
LCM = 215996220
Thus, we can understand that the LCM of 459,810,341,828 is 215996220.
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FAQs on LCM of 459, 810, 341, 828
1. What is the LCM of 459, 810, 341, 828?
Answer: LCM of 459, 810, 341, 828 is 215996220.
2. How to calculate the LCM of 459, 810, 341, 828?
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 459, 810, 341, 828.
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}.