LCM of 566, 280, 868, 906, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 566, 280, 868, 906, 498 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 566, 280, 868, 906, 498. So, keep reading to learn more.
Given numbers are 566,280,868,906,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 566,280,868,906,498 is 92359687560.
Find LCM of 566,280,868,906,498 with Prime Factorization
| 2 | 566, 280, 868, 906, 498 |
| 2 | 283, 140, 434, 453, 249 |
| 3 | 283, 70, 217, 453, 249 |
| 7 | 283, 70, 217, 151, 83 |
| 283, 10, 31, 151, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 283 x 10 x 31 x 151 x 83 = 92359687560
Therefore, the lowest common multiple of 566,280,868,906,498 is 92359687560.
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.
566 x 280 x 868 x 906 x 498 = 62065710040320
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.
566 : 1, 2, 283, 566
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
906 : 1, 2, 3, 6, 151, 302, 453, 906
498 : 1, 2, 3, 6, 83, 166, 249, 498
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,280,868,906,498, is 2.
Now, the common factors can be found like this.
566:2x 283
280:2x 2x 2x 5x 7
868:2x 2x 7x 31
906:2x 3x 151
498:2x 3x 83
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 7 = 336
Therefore, the value for common factors is 336.
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 = 62065710040320/(2x336)
LCM = 62065710040320/672
LCM = 92359687560
Thus, we can understand that the LCM of 566,280,868,906,498 is 92359687560.
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FAQs on LCM of 566, 280, 868, 906, 498
1. What is the LCM of 566, 280, 868, 906, 498?
Answer: LCM of 566, 280, 868, 906, 498 is 92359687560.
2. How to calculate the LCM of 566, 280, 868, 906, 498?
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 566, 280, 868, 906, 498.
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}.