LCM of 859, 351, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 351, 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 859, 351, 864. So, keep reading to learn more.
Given numbers are 859,351,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,351,864 is 9648288.
Find LCM of 859,351,864 with Prime Factorization
| 3 | 859, 351, 864 |
| 3 | 859, 117, 288 |
| 3 | 859, 39, 96 |
| 859, 13, 32 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 859 x 13 x 32 = 9648288
Therefore, the lowest common multiple of 859,351,864 is 9648288.
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.
859 x 351 x 864 = 260503776
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.
859 : 1, 859
351 : 1, 3, 9, 13, 27, 39, 117, 351
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 859,351,864, is 1.
Now, the common factors can be found like this.
859:859
351:3x 3x 3x 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.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 260503776/(1x27)
LCM = 260503776/27
LCM = 9648288
Thus, we can understand that the LCM of 859,351,864 is 9648288.
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FAQs on LCM of 859, 351, 864
1. What is the LCM of 859, 351, 864?
Answer: LCM of 859, 351, 864 is 9648288.
2. How to calculate the LCM of 859, 351, 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 859, 351, 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}.