LCM of 806, 221, 323, 413, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 221, 323, 413, 159 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 806, 221, 323, 413, 159. So, keep reading to learn more.
Given numbers are 806,221,323,413,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,221,323,413,159 is 17095615446.
Find LCM of 806,221,323,413,159 with Prime Factorization
| 13 | 806, 221, 323, 413, 159 |
| 17 | 62, 17, 323, 413, 159 |
| 62, 1, 19, 413, 159 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 62 x 1 x 19 x 413 x 159 = 17095615446
Therefore, the lowest common multiple of 806,221,323,413,159 is 17095615446.
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.
806 x 221 x 323 x 413 x 159 = 3778131013566
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
221 : 1, 13, 17, 221
323 : 1, 17, 19, 323
413 : 1, 7, 59, 413
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,221,323,413,159, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
221:13x 17
323:17x 19
413:7x 59
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 3778131013566/(1x221)
LCM = 3778131013566/221
LCM = 17095615446
Thus, we can understand that the LCM of 806,221,323,413,159 is 17095615446.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 806, 221, 323, 413, 159
1. What is the LCM of 806, 221, 323, 413, 159?
Answer: LCM of 806, 221, 323, 413, 159 is 17095615446.
2. How to calculate the LCM of 806, 221, 323, 413, 159?
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 806, 221, 323, 413, 159.
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}.