LCM of 864, 210, 642, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 210, 642, 328 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 864, 210, 642, 328. So, keep reading to learn more.
Given numbers are 864,210,642,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,210,642,328 is 132662880.
Find LCM of 864,210,642,328 with Prime Factorization
| 2 | 864, 210, 642, 328 |
| 2 | 432, 105, 321, 164 |
| 2 | 216, 105, 321, 82 |
| 3 | 108, 105, 321, 41 |
| 36, 35, 107, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 36 x 35 x 107 x 41 = 132662880
Therefore, the lowest common multiple of 864,210,642,328 is 132662880.
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.
864 x 210 x 642 x 328 = 38206909440
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.
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
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
642 : 1, 2, 3, 6, 107, 214, 321, 642
328 : 1, 2, 4, 8, 41, 82, 164, 328
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,210,642,328, is 2.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
210:2x 3x 5x 7
642:2x 3x 107
328:2x 2x 2x 41
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 3 = 144
Therefore, the value for common factors is 144.
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 = 38206909440/(2x144)
LCM = 38206909440/288
LCM = 132662880
Thus, we can understand that the LCM of 864,210,642,328 is 132662880.
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FAQs on LCM of 864, 210, 642, 328
1. What is the LCM of 864, 210, 642, 328?
Answer: LCM of 864, 210, 642, 328 is 132662880.
2. How to calculate the LCM of 864, 210, 642, 328?
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 864, 210, 642, 328.
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}.