LCM of 810, 428, 428, 462, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 428, 428, 462, 525 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, 428, 428, 462, 525. So, keep reading to learn more.
Given numbers are 810,428,428,462,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,428,428,462,525 is 66735900.
Find LCM of 810,428,428,462,525 with Prime Factorization
| 2 | 810, 428, 428, 462, 525 |
| 2 | 405, 214, 214, 231, 525 |
| 3 | 405, 107, 107, 231, 525 |
| 5 | 135, 107, 107, 77, 175 |
| 7 | 27, 107, 107, 77, 35 |
| 107 | 27, 107, 107, 11, 5 |
| 27, 1, 1, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 107 x 27 x 1 x 1 x 11 x 5 = 66735900
Therefore, the lowest common multiple of 810,428,428,462,525 is 66735900.
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 428 x 428 x 462 x 525 = 35989336152000
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
428 : 1, 2, 4, 107, 214, 428
428 : 1, 2, 4, 107, 214, 428
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,428,428,462,525, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
428:2x 2x 107
428:2x 2x 107
462:2x 3x 7x 11
525:3x 5x 5x 7
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 3x 5x 7x 107 = 539280
Therefore, the value for common factors is 539280.
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 = 35989336152000/(1x539280)
LCM = 35989336152000/539280
LCM = 66735900
Thus, we can understand that the LCM of 810,428,428,462,525 is 66735900.
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FAQs on LCM of 810, 428, 428, 462, 525
1. What is the LCM of 810, 428, 428, 462, 525?
Answer: LCM of 810, 428, 428, 462, 525 is 66735900.
2. How to calculate the LCM of 810, 428, 428, 462, 525?
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, 428, 428, 462, 525.
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}.