LCM of 393, 524, 717, 768, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 393, 524, 717, 768, 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 393, 524, 717, 768, 864. So, keep reading to learn more.
Given numbers are 393,524,717,768,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,524,717,768,864 is 216407808.
Find LCM of 393,524,717,768,864 with Prime Factorization
| 2 | 393, 524, 717, 768, 864 |
| 2 | 393, 262, 717, 384, 432 |
| 2 | 393, 131, 717, 192, 216 |
| 2 | 393, 131, 717, 96, 108 |
| 2 | 393, 131, 717, 48, 54 |
| 3 | 393, 131, 717, 24, 27 |
| 131 | 131, 131, 239, 8, 9 |
| 1, 1, 239, 8, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 131 x 1 x 1 x 239 x 8 x 9 = 216407808
Therefore, the lowest common multiple of 393,524,717,768,864 is 216407808.
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.
393 x 524 x 717 x 768 x 864 = 97975605362688
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.
393 : 1, 3, 131, 393
524 : 1, 2, 4, 131, 262, 524
717 : 1, 3, 239, 717
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
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 393,524,717,768,864, is 1.
Now, the common factors can be found like this.
393:3x 131
524:2x 2x 131
717:3x 239
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 2x 2x 2x 2x 2x 3x 3x 3x 131 = 452736
Therefore, the value for common factors is 452736.
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 = 97975605362688/(1x452736)
LCM = 97975605362688/452736
LCM = 216407808
Thus, we can understand that the LCM of 393,524,717,768,864 is 216407808.
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FAQs on LCM of 393, 524, 717, 768, 864
1. What is the LCM of 393, 524, 717, 768, 864?
Answer: LCM of 393, 524, 717, 768, 864 is 216407808.
2. How to calculate the LCM of 393, 524, 717, 768, 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 393, 524, 717, 768, 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}.