LCM of 426, 720, 810, 459, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 720, 810, 459, 410 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 426, 720, 810, 459, 410. So, keep reading to learn more.
Given numbers are 426,720,810,459,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,720,810,459,410 is 320675760.
Find LCM of 426,720,810,459,410 with Prime Factorization
| 2 | 426, 720, 810, 459, 410 |
| 3 | 213, 360, 405, 459, 205 |
| 3 | 71, 120, 135, 153, 205 |
| 3 | 71, 40, 45, 51, 205 |
| 5 | 71, 40, 15, 17, 205 |
| 71, 8, 3, 17, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 71 x 8 x 3 x 17 x 41 = 320675760
Therefore, the lowest common multiple of 426,720,810,459,410 is 320675760.
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.
426 x 720 x 810 x 459 x 410 = 46754525808000
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
459 : 1, 3, 9, 17, 27, 51, 153, 459
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,720,810,459,410, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
720:2x 2x 2x 2x 3x 3x 5
810:2x 3x 3x 3x 3x 5
459:3x 3x 3x 17
410:2x 5x 41
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 5x 5 = 145800
Therefore, the value for common factors is 145800.
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 = 46754525808000/(1x145800)
LCM = 46754525808000/145800
LCM = 320675760
Thus, we can understand that the LCM of 426,720,810,459,410 is 320675760.
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FAQs on LCM of 426, 720, 810, 459, 410
1. What is the LCM of 426, 720, 810, 459, 410?
Answer: LCM of 426, 720, 810, 459, 410 is 320675760.
2. How to calculate the LCM of 426, 720, 810, 459, 410?
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 426, 720, 810, 459, 410.
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}.