LCM of 704, 617, 162, 891, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 617, 162, 891, 162 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 704, 617, 162, 891, 162. So, keep reading to learn more.
Given numbers are 704,617,162,891,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,617,162,891,162 is 35183808.
Find LCM of 704,617,162,891,162 with Prime Factorization
| 2 | 704, 617, 162, 891, 162 |
| 3 | 352, 617, 81, 891, 81 |
| 3 | 352, 617, 27, 297, 27 |
| 3 | 352, 617, 9, 99, 9 |
| 3 | 352, 617, 3, 33, 3 |
| 11 | 352, 617, 1, 11, 1 |
| 32, 617, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 11 x 32 x 617 x 1 x 1 x 1 = 35183808
Therefore, the lowest common multiple of 704,617,162,891,162 is 35183808.
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.
704 x 617 x 162 x 891 x 162 = 10157002428672
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
617 : 1, 617
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,617,162,891,162, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
617:617
162:2x 3x 3x 3x 3
891:3x 3x 3x 3x 11
162:2x 3x 3x 3x 3
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 3x 3x 3x 3x 3x 3x 3x 3x 11 = 288684
Therefore, the value for common factors is 288684.
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 = 10157002428672/(1x288684)
LCM = 10157002428672/288684
LCM = 35183808
Thus, we can understand that the LCM of 704,617,162,891,162 is 35183808.
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FAQs on LCM of 704, 617, 162, 891, 162
1. What is the LCM of 704, 617, 162, 891, 162?
Answer: LCM of 704, 617, 162, 891, 162 is 35183808.
2. How to calculate the LCM of 704, 617, 162, 891, 162?
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 704, 617, 162, 891, 162.
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}.