LCM of 331, 578, 360, 289, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 578, 360, 289, 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 331, 578, 360, 289, 864. So, keep reading to learn more.
Given numbers are 331,578,360,289,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,578,360,289,864 is 413246880.
Find LCM of 331,578,360,289,864 with Prime Factorization
| 2 | 331, 578, 360, 289, 864 |
| 2 | 331, 289, 180, 289, 432 |
| 2 | 331, 289, 90, 289, 216 |
| 3 | 331, 289, 45, 289, 108 |
| 3 | 331, 289, 15, 289, 36 |
| 17 | 331, 289, 5, 289, 12 |
| 17 | 331, 17, 5, 17, 12 |
| 331, 1, 5, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 17 x 17 x 331 x 1 x 5 x 1 x 12 = 413246880
Therefore, the lowest common multiple of 331,578,360,289,864 is 413246880.
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.
331 x 578 x 360 x 289 x 864 = 17197682158080
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.
331 : 1, 331
578 : 1, 2, 17, 34, 289, 578
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
289 : 1, 17, 289
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 331,578,360,289,864, is 1.
Now, the common factors can be found like this.
331:331
578:2x 17x 17
360:2x 2x 2x 3x 3x 5
289:17x 17
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 3x 3x 17x 17 = 41616
Therefore, the value for common factors is 41616.
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 = 17197682158080/(1x41616)
LCM = 17197682158080/41616
LCM = 413246880
Thus, we can understand that the LCM of 331,578,360,289,864 is 413246880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 331, 578, 360, 289, 864
1. What is the LCM of 331, 578, 360, 289, 864?
Answer: LCM of 331, 578, 360, 289, 864 is 413246880.
2. How to calculate the LCM of 331, 578, 360, 289, 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 331, 578, 360, 289, 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}.