LCM of 358, 999, 864, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 999, 864, 813 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 358, 999, 864, 813. So, keep reading to learn more.
Given numbers are 358,999,864,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,999,864,813 is 1550735712.
Find LCM of 358,999,864,813 with Prime Factorization
| 2 | 358, 999, 864, 813 |
| 3 | 179, 999, 432, 813 |
| 3 | 179, 333, 144, 271 |
| 3 | 179, 111, 48, 271 |
| 179, 37, 16, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 179 x 37 x 16 x 271 = 1550735712
Therefore, the lowest common multiple of 358,999,864,813 is 1550735712.
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.
358 x 999 x 864 x 813 = 251219185344
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.
358 : 1, 2, 179, 358
999 : 1, 3, 9, 27, 37, 111, 333, 999
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
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,999,864,813, is 1.
Now, the common factors can be found like this.
358:2x 179
999:3x 3x 3x 37
864:2x 2x 2x 2x 2x 3x 3x 3
813:3x 271
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 3 = 162
Therefore, the value for common factors is 162.
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 = 251219185344/(1x162)
LCM = 251219185344/162
LCM = 1550735712
Thus, we can understand that the LCM of 358,999,864,813 is 1550735712.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 358, 999, 864, 813
1. What is the LCM of 358, 999, 864, 813?
Answer: LCM of 358, 999, 864, 813 is 1550735712.
2. How to calculate the LCM of 358, 999, 864, 813?
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 358, 999, 864, 813.
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}.