LCM of 844, 884, 897, 633, 511
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 884, 897, 633, 511 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 844, 884, 897, 633, 511. So, keep reading to learn more.
Given numbers are 844,884,897,633,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,884,897,633,511 is 6576649716.
Find LCM of 844,884,897,633,511 with Prime Factorization
| 2 | 844, 884, 897, 633, 511 |
| 2 | 422, 442, 897, 633, 511 |
| 3 | 211, 221, 897, 633, 511 |
| 13 | 211, 221, 299, 211, 511 |
| 211 | 211, 17, 23, 211, 511 |
| 1, 17, 23, 1, 511 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 211 x 1 x 17 x 23 x 1 x 511 = 6576649716
Therefore, the lowest common multiple of 844,884,897,633,511 is 6576649716.
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.
844 x 884 x 897 x 633 x 511 = 216477002051856
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.
844 : 1, 2, 4, 211, 422, 844
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
897 : 1, 3, 13, 23, 39, 69, 299, 897
633 : 1, 3, 211, 633
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,884,897,633,511, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
884:2x 2x 13x 17
897:3x 13x 23
633:3x 211
511:7x 73
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 3x 13x 211 = 32916
Therefore, the value for common factors is 32916.
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 = 216477002051856/(1x32916)
LCM = 216477002051856/32916
LCM = 6576649716
Thus, we can understand that the LCM of 844,884,897,633,511 is 6576649716.
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FAQs on LCM of 844, 884, 897, 633, 511
1. What is the LCM of 844, 884, 897, 633, 511?
Answer: LCM of 844, 884, 897, 633, 511 is 6576649716.
2. How to calculate the LCM of 844, 884, 897, 633, 511?
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 844, 884, 897, 633, 511.
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}.