LCM of 781, 629, 459, 542, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 629, 459, 542, 864 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 781, 629, 459, 542, 864. So, keep reading to learn more.
Given numbers are 781,629,459,542,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,629,459,542,864 is 115023005856.
Find LCM of 781,629,459,542,864 with Prime Factorization
| 2 | 781, 629, 459, 542, 864 |
| 3 | 781, 629, 459, 271, 432 |
| 3 | 781, 629, 153, 271, 144 |
| 3 | 781, 629, 51, 271, 48 |
| 17 | 781, 629, 17, 271, 16 |
| 781, 37, 1, 271, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 781 x 37 x 1 x 271 x 16 = 115023005856
Therefore, the lowest common multiple of 781,629,459,542,864 is 115023005856.
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.
781 x 629 x 459 x 542 x 864 = 105591119375808
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.
781 : 1, 11, 71, 781
629 : 1, 17, 37, 629
459 : 1, 3, 9, 17, 27, 51, 153, 459
542 : 1, 2, 271, 542
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,629,459,542,864, is 1.
Now, the common factors can be found like this.
781:11x 71
629:17x 37
459:3x 3x 3x 17
542:2x 271
864:2x 2x 2x 2x 2x 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 3x 3x 3x 17 = 918
Therefore, the value for common factors is 918.
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 = 105591119375808/(1x918)
LCM = 105591119375808/918
LCM = 115023005856
Thus, we can understand that the LCM of 781,629,459,542,864 is 115023005856.
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FAQs on LCM of 781, 629, 459, 542, 864
1. What is the LCM of 781, 629, 459, 542, 864?
Answer: LCM of 781, 629, 459, 542, 864 is 115023005856.
2. How to calculate the LCM of 781, 629, 459, 542, 864?
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 781, 629, 459, 542, 864.
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}.