LCM of 993, 220, 814, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 220, 814, 324 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 993, 220, 814, 324. So, keep reading to learn more.
Given numbers are 993,220,814,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,220,814,324 is 218241540.
Find LCM of 993,220,814,324 with Prime Factorization
| 2 | 993, 220, 814, 324 |
| 2 | 993, 110, 407, 162 |
| 3 | 993, 55, 407, 81 |
| 11 | 331, 55, 407, 27 |
| 331, 5, 37, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 331 x 5 x 37 x 27 = 218241540
Therefore, the lowest common multiple of 993,220,814,324 is 218241540.
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.
993 x 220 x 814 x 324 = 57615766560
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.
993 : 1, 3, 331, 993
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
814 : 1, 2, 11, 22, 37, 74, 407, 814
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,220,814,324, is 1.
Now, the common factors can be found like this.
993:3x 331
220:2x 2x 5x 11
814:2x 11x 37
324:2x 2x 3x 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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 57615766560/(1x264)
LCM = 57615766560/264
LCM = 218241540
Thus, we can understand that the LCM of 993,220,814,324 is 218241540.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 993, 220, 814, 324
1. What is the LCM of 993, 220, 814, 324?
Answer: LCM of 993, 220, 814, 324 is 218241540.
2. How to calculate the LCM of 993, 220, 814, 324?
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 993, 220, 814, 324.
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}.