LCM of 463, 170, 993, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 170, 993, 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 463, 170, 993, 408. So, keep reading to learn more.
Given numbers are 463,170,993,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,170,993,408 is 312636120.
Find LCM of 463,170,993,408 with Prime Factorization
| 2 | 463, 170, 993, 408 |
| 3 | 463, 85, 993, 204 |
| 17 | 463, 85, 331, 68 |
| 463, 5, 331, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 463 x 5 x 331 x 4 = 312636120
Therefore, the lowest common multiple of 463,170,993,408 is 312636120.
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.
463 x 170 x 993 x 408 = 31888884240
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.
463 : 1, 463
170 : 1, 2, 5, 10, 17, 34, 85, 170
993 : 1, 3, 331, 993
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 463,170,993,408, is 1.
Now, the common factors can be found like this.
463:463
170:2x 5x 17
993:3x 331
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 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 31888884240/(1x102)
LCM = 31888884240/102
LCM = 312636120
Thus, we can understand that the LCM of 463,170,993,408 is 312636120.
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FAQs on LCM of 463, 170, 993, 408
1. What is the LCM of 463, 170, 993, 408?
Answer: LCM of 463, 170, 993, 408 is 312636120.
2. How to calculate the LCM of 463, 170, 993, 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 463, 170, 993, 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}.