LCM of 933, 646, 399, 836, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 646, 399, 836, 798 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 933, 646, 399, 836, 798. So, keep reading to learn more.
Given numbers are 933,646,399,836,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,646,399,836,798 is 92818572.
Find LCM of 933,646,399,836,798 with Prime Factorization
| 2 | 933, 646, 399, 836, 798 |
| 3 | 933, 323, 399, 418, 399 |
| 7 | 311, 323, 133, 418, 133 |
| 19 | 311, 323, 19, 418, 19 |
| 311, 17, 1, 22, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 311 x 17 x 1 x 22 x 1 = 92818572
Therefore, the lowest common multiple of 933,646,399,836,798 is 92818572.
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.
933 x 646 x 399 x 836 x 798 = 160433931507696
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.
933 : 1, 3, 311, 933
646 : 1, 2, 17, 19, 34, 38, 323, 646
399 : 1, 3, 7, 19, 21, 57, 133, 399
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,646,399,836,798, is 1.
Now, the common factors can be found like this.
933:3x 311
646:2x 17x 19
399:3x 7x 19
836:2x 2x 11x 19
798:2x 3x 7x 19
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 3x 7x 19x 19x 19 = 1728468
Therefore, the value for common factors is 1728468.
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 = 160433931507696/(1x1728468)
LCM = 160433931507696/1728468
LCM = 92818572
Thus, we can understand that the LCM of 933,646,399,836,798 is 92818572.
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FAQs on LCM of 933, 646, 399, 836, 798
1. What is the LCM of 933, 646, 399, 836, 798?
Answer: LCM of 933, 646, 399, 836, 798 is 92818572.
2. How to calculate the LCM of 933, 646, 399, 836, 798?
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 933, 646, 399, 836, 798.
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}.