LCM of 166, 808, 520, 559, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 166, 808, 520, 559, 468 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 166, 808, 520, 559, 468. So, keep reading to learn more.
Given numbers are 166,808,520,559,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,808,520,559,468 is 1686994920.
Find LCM of 166,808,520,559,468 with Prime Factorization
| 2 | 166, 808, 520, 559, 468 |
| 2 | 83, 404, 260, 559, 234 |
| 2 | 83, 202, 130, 559, 117 |
| 13 | 83, 101, 65, 559, 117 |
| 83, 101, 5, 43, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 83 x 101 x 5 x 43 x 9 = 1686994920
Therefore, the lowest common multiple of 166,808,520,559,468 is 1686994920.
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.
166 x 808 x 520 x 559 x 468 = 18246537054720
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.
166 : 1, 2, 83, 166
808 : 1, 2, 4, 8, 101, 202, 404, 808
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
559 : 1, 13, 43, 559
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,808,520,559,468, is 1.
Now, the common factors can be found like this.
166:2x 83
808:2x 2x 2x 101
520:2x 2x 2x 5x 13
559:13x 43
468:2x 2x 3x 3x 13
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 2x 2x 13x 13 = 10816
Therefore, the value for common factors is 10816.
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 = 18246537054720/(1x10816)
LCM = 18246537054720/10816
LCM = 1686994920
Thus, we can understand that the LCM of 166,808,520,559,468 is 1686994920.
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FAQs on LCM of 166, 808, 520, 559, 468
1. What is the LCM of 166, 808, 520, 559, 468?
Answer: LCM of 166, 808, 520, 559, 468 is 1686994920.
2. How to calculate the LCM of 166, 808, 520, 559, 468?
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 166, 808, 520, 559, 468.
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}.