LCM of 993, 102, 676, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 102, 676, 408 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, 102, 676, 408. So, keep reading to learn more.
Given numbers are 993,102,676,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,102,676,408 is 22823112.
Find LCM of 993,102,676,408 with Prime Factorization
| 2 | 993, 102, 676, 408 |
| 2 | 993, 51, 338, 204 |
| 3 | 993, 51, 169, 102 |
| 17 | 331, 17, 169, 34 |
| 331, 1, 169, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 331 x 1 x 169 x 2 = 22823112
Therefore, the lowest common multiple of 993,102,676,408 is 22823112.
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 102 x 676 x 408 = 27935489088
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
102 : 1, 2, 3, 6, 17, 34, 51, 102
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,102,676,408, is 1.
Now, the common factors can be found like this.
993:3x 331
102:2x 3x 17
676:2x 2x 13x 13
408:2x 2x 2x 3x 17
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 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 27935489088/(1x1224)
LCM = 27935489088/1224
LCM = 22823112
Thus, we can understand that the LCM of 993,102,676,408 is 22823112.
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, 102, 676, 408
1. What is the LCM of 993, 102, 676, 408?
Answer: LCM of 993, 102, 676, 408 is 22823112.
2. How to calculate the LCM of 993, 102, 676, 408?
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, 102, 676, 408.
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}.