LCM of 993, 640, 976, 851, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 640, 976, 851, 481 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, 640, 976, 851, 481. So, keep reading to learn more.
Given numbers are 993,640,976,851,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,640,976,851,481 is 428876223360.
Find LCM of 993,640,976,851,481 with Prime Factorization
| 2 | 993, 640, 976, 851, 481 |
| 2 | 993, 320, 488, 851, 481 |
| 2 | 993, 160, 244, 851, 481 |
| 2 | 993, 80, 122, 851, 481 |
| 37 | 993, 40, 61, 851, 481 |
| 993, 40, 61, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 37 x 993 x 40 x 61 x 23 x 13 = 428876223360
Therefore, the lowest common multiple of 993,640,976,851,481 is 428876223360.
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 640 x 976 x 851 x 481 = 253894724229120
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
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
851 : 1, 23, 37, 851
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,640,976,851,481, is 1.
Now, the common factors can be found like this.
993:3x 331
640:2x 2x 2x 2x 2x 2x 2x 5
976:2x 2x 2x 2x 61
851:23x 37
481:13x 37
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 2x 37 = 592
Therefore, the value for common factors is 592.
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 = 253894724229120/(1x592)
LCM = 253894724229120/592
LCM = 428876223360
Thus, we can understand that the LCM of 993,640,976,851,481 is 428876223360.
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FAQs on LCM of 993, 640, 976, 851, 481
1. What is the LCM of 993, 640, 976, 851, 481?
Answer: LCM of 993, 640, 976, 851, 481 is 428876223360.
2. How to calculate the LCM of 993, 640, 976, 851, 481?
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, 640, 976, 851, 481.
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}.