LCM of 434, 810, 516, 656, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 810, 516, 656, 906 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 434, 810, 516, 656, 906. So, keep reading to learn more.
Given numbers are 434,810,516,656,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,810,516,656,906 is 374338072080.
Find LCM of 434,810,516,656,906 with Prime Factorization
| 2 | 434, 810, 516, 656, 906 |
| 2 | 217, 405, 258, 328, 453 |
| 3 | 217, 405, 129, 164, 453 |
| 217, 135, 43, 164, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 217 x 135 x 43 x 164 x 151 = 374338072080
Therefore, the lowest common multiple of 434,810,516,656,906 is 374338072080.
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.
434 x 810 x 516 x 656 x 906 = 107809364759040
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
906 : 1, 2, 3, 6, 151, 302, 453, 906
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,810,516,656,906, is 2.
Now, the common factors can be found like this.
434:2x 7x 31
810:2x 3x 3x 3x 3x 5
516:2x 2x 3x 43
656:2x 2x 2x 2x 41
906:2x 3x 151
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 3 = 144
Therefore, the value for common factors is 144.
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 = 107809364759040/(2x144)
LCM = 107809364759040/288
LCM = 374338072080
Thus, we can understand that the LCM of 434,810,516,656,906 is 374338072080.
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FAQs on LCM of 434, 810, 516, 656, 906
1. What is the LCM of 434, 810, 516, 656, 906?
Answer: LCM of 434, 810, 516, 656, 906 is 374338072080.
2. How to calculate the LCM of 434, 810, 516, 656, 906?
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 434, 810, 516, 656, 906.
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}.