LCM of 886, 424, 459, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 424, 459, 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 886, 424, 459, 159. So, keep reading to learn more.
Given numbers are 886,424,459,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,424,459,159 is 86214888.
Find LCM of 886,424,459,159 with Prime Factorization
| 2 | 886, 424, 459, 159 |
| 3 | 443, 212, 459, 159 |
| 53 | 443, 212, 153, 53 |
| 443, 4, 153, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 443 x 4 x 153 x 1 = 86214888
Therefore, the lowest common multiple of 886,424,459,159 is 86214888.
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.
886 x 424 x 459 x 159 = 27416334384
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.
886 : 1, 2, 443, 886
424 : 1, 2, 4, 8, 53, 106, 212, 424
459 : 1, 3, 9, 17, 27, 51, 153, 459
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,424,459,159, is 1.
Now, the common factors can be found like this.
886:2x 443
424:2x 2x 2x 53
459:3x 3x 3x 17
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.
2x 3x 53 = 318
Therefore, the value for common factors is 318.
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 = 27416334384/(1x318)
LCM = 27416334384/318
LCM = 86214888
Thus, we can understand that the LCM of 886,424,459,159 is 86214888.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 886, 424, 459, 159
1. What is the LCM of 886, 424, 459, 159?
Answer: LCM of 886, 424, 459, 159 is 86214888.
2. How to calculate the LCM of 886, 424, 459, 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 886, 424, 459, 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}.