LCM of 933, 704, 824, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 704, 824, 902 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, 704, 824, 902. So, keep reading to learn more.
Given numbers are 933,704,824,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,704,824,902 is 2773801536.
Find LCM of 933,704,824,902 with Prime Factorization
| 2 | 933, 704, 824, 902 |
| 2 | 933, 352, 412, 451 |
| 2 | 933, 176, 206, 451 |
| 11 | 933, 88, 103, 451 |
| 933, 8, 103, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 933 x 8 x 103 x 41 = 2773801536
Therefore, the lowest common multiple of 933,704,824,902 is 2773801536.
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 704 x 824 x 902 = 488189070336
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
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
824 : 1, 2, 4, 8, 103, 206, 412, 824
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,704,824,902, is 1.
Now, the common factors can be found like this.
933:3x 311
704:2x 2x 2x 2x 2x 2x 11
824:2x 2x 2x 103
902:2x 11x 41
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 11 = 176
Therefore, the value for common factors is 176.
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 = 488189070336/(1x176)
LCM = 488189070336/176
LCM = 2773801536
Thus, we can understand that the LCM of 933,704,824,902 is 2773801536.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 933, 704, 824, 902
1. What is the LCM of 933, 704, 824, 902?
Answer: LCM of 933, 704, 824, 902 is 2773801536.
2. How to calculate the LCM of 933, 704, 824, 902?
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, 704, 824, 902.
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}.