LCM of 160, 864, 614, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 864, 614, 963 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 160, 864, 614, 963. So, keep reading to learn more.
Given numbers are 160,864,614,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,864,614,963 is 141907680.
Find LCM of 160,864,614,963 with Prime Factorization
| 2 | 160, 864, 614, 963 |
| 2 | 80, 432, 307, 963 |
| 2 | 40, 216, 307, 963 |
| 2 | 20, 108, 307, 963 |
| 2 | 10, 54, 307, 963 |
| 3 | 5, 27, 307, 963 |
| 3 | 5, 9, 307, 321 |
| 5, 3, 307, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 3 x 307 x 107 = 141907680
Therefore, the lowest common multiple of 160,864,614,963 is 141907680.
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.
160 x 864 x 614 x 963 = 81738823680
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
614 : 1, 2, 307, 614
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,864,614,963, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
864:2x 2x 2x 2x 2x 3x 3x 3
614:2x 307
963:3x 3x 107
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 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 81738823680/(1x576)
LCM = 81738823680/576
LCM = 141907680
Thus, we can understand that the LCM of 160,864,614,963 is 141907680.
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FAQs on LCM of 160, 864, 614, 963
1. What is the LCM of 160, 864, 614, 963?
Answer: LCM of 160, 864, 614, 963 is 141907680.
2. How to calculate the LCM of 160, 864, 614, 963?
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 160, 864, 614, 963.
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}.