LCM of 835, 208, 288, 507, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 208, 288, 507, 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 835, 208, 288, 507, 864. So, keep reading to learn more.
Given numbers are 835,208,288,507,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,208,288,507,864 is 121923360.
Find LCM of 835,208,288,507,864 with Prime Factorization
| 2 | 835, 208, 288, 507, 864 |
| 2 | 835, 104, 144, 507, 432 |
| 2 | 835, 52, 72, 507, 216 |
| 2 | 835, 26, 36, 507, 108 |
| 2 | 835, 13, 18, 507, 54 |
| 3 | 835, 13, 9, 507, 27 |
| 3 | 835, 13, 3, 169, 9 |
| 13 | 835, 13, 1, 169, 3 |
| 835, 1, 1, 13, 3 |
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 13 x 835 x 1 x 1 x 13 x 3 = 121923360
Therefore, the lowest common multiple of 835,208,288,507,864 is 121923360.
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.
835 x 208 x 288 x 507 x 864 = 21911090872320
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.
835 : 1, 5, 167, 835
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
507 : 1, 3, 13, 39, 169, 507
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 835,208,288,507,864, is 1.
Now, the common factors can be found like this.
835:5x 167
208:2x 2x 2x 2x 13
288:2x 2x 2x 2x 2x 3x 3
507:3x 13x 13
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 2x 2x 3x 3x 3x 13 = 179712
Therefore, the value for common factors is 179712.
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 = 21911090872320/(1x179712)
LCM = 21911090872320/179712
LCM = 121923360
Thus, we can understand that the LCM of 835,208,288,507,864 is 121923360.
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FAQs on LCM of 835, 208, 288, 507, 864
1. What is the LCM of 835, 208, 288, 507, 864?
Answer: LCM of 835, 208, 288, 507, 864 is 121923360.
2. How to calculate the LCM of 835, 208, 288, 507, 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 835, 208, 288, 507, 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}.