LCM of 864, 351, 398, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 351, 398, 441 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, 351, 398, 441. So, keep reading to learn more.
Given numbers are 864,351,398,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,351,398,441 is 109523232.
Find LCM of 864,351,398,441 with Prime Factorization
| 2 | 864, 351, 398, 441 |
| 3 | 432, 351, 199, 441 |
| 3 | 144, 117, 199, 147 |
| 3 | 48, 39, 199, 49 |
| 16, 13, 199, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 16 x 13 x 199 x 49 = 109523232
Therefore, the lowest common multiple of 864,351,398,441 is 109523232.
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 351 x 398 x 441 = 53228290752
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
351 : 1, 3, 9, 13, 27, 39, 117, 351
398 : 1, 2, 199, 398
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,351,398,441, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
351:3x 3x 3x 13
398:2x 199
441:3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 53228290752/(1x486)
LCM = 53228290752/486
LCM = 109523232
Thus, we can understand that the LCM of 864,351,398,441 is 109523232.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 864, 351, 398, 441
1. What is the LCM of 864, 351, 398, 441?
Answer: LCM of 864, 351, 398, 441 is 109523232.
2. How to calculate the LCM of 864, 351, 398, 441?
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, 351, 398, 441.
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}.