LCM of 933, 713, 370, 864, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 713, 370, 864, 819 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, 713, 370, 864, 819. So, keep reading to learn more.
Given numbers are 933,713,370,864,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,713,370,864,819 is 3225349501920.
Find LCM of 933,713,370,864,819 with Prime Factorization
| 2 | 933, 713, 370, 864, 819 |
| 3 | 933, 713, 185, 432, 819 |
| 3 | 311, 713, 185, 144, 273 |
| 311, 713, 185, 48, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 311 x 713 x 185 x 48 x 91 = 3225349501920
Therefore, the lowest common multiple of 933,713,370,864,819 is 3225349501920.
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 713 x 370 x 864 x 819 = 174168873103680
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
713 : 1, 23, 31, 713
370 : 1, 2, 5, 10, 37, 74, 185, 370
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,713,370,864,819, is 1.
Now, the common factors can be found like this.
933:3x 311
713:23x 31
370:2x 5x 37
864:2x 2x 2x 2x 2x 3x 3x 3
819:3x 3x 7x 13
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 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 174168873103680/(1x54)
LCM = 174168873103680/54
LCM = 3225349501920
Thus, we can understand that the LCM of 933,713,370,864,819 is 3225349501920.
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FAQs on LCM of 933, 713, 370, 864, 819
1. What is the LCM of 933, 713, 370, 864, 819?
Answer: LCM of 933, 713, 370, 864, 819 is 3225349501920.
2. How to calculate the LCM of 933, 713, 370, 864, 819?
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, 713, 370, 864, 819.
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}.