LCM of 793, 408, 461, 969, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 408, 461, 969, 854 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 793, 408, 461, 969, 854. So, keep reading to learn more.
Given numbers are 793,408,461,969,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,408,461,969,854 is 19837453272.
Find LCM of 793,408,461,969,854 with Prime Factorization
| 2 | 793, 408, 461, 969, 854 |
| 3 | 793, 204, 461, 969, 427 |
| 17 | 793, 68, 461, 323, 427 |
| 61 | 793, 4, 461, 19, 427 |
| 13, 4, 461, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 61 x 13 x 4 x 461 x 19 x 7 = 19837453272
Therefore, the lowest common multiple of 793,408,461,969,854 is 19837453272.
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.
793 x 408 x 461 x 969 x 854 = 123428634258384
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.
793 : 1, 13, 61, 793
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
461 : 1, 461
969 : 1, 3, 17, 19, 51, 57, 323, 969
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,408,461,969,854, is 1.
Now, the common factors can be found like this.
793:13x 61
408:2x 2x 2x 3x 17
461:461
969:3x 17x 19
854:2x 7x 61
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 17x 61 = 6222
Therefore, the value for common factors is 6222.
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 = 123428634258384/(1x6222)
LCM = 123428634258384/6222
LCM = 19837453272
Thus, we can understand that the LCM of 793,408,461,969,854 is 19837453272.
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FAQs on LCM of 793, 408, 461, 969, 854
1. What is the LCM of 793, 408, 461, 969, 854?
Answer: LCM of 793, 408, 461, 969, 854 is 19837453272.
2. How to calculate the LCM of 793, 408, 461, 969, 854?
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 793, 408, 461, 969, 854.
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}.