LCM of 933, 822, 391, 959, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 822, 391, 959, 529 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, 822, 391, 959, 529. So, keep reading to learn more.
Given numbers are 933,822,391,959,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,822,391,959,529 is 16092919542.
Find LCM of 933,822,391,959,529 with Prime Factorization
| 3 | 933, 822, 391, 959, 529 |
| 23 | 311, 274, 391, 959, 529 |
| 137 | 311, 274, 17, 959, 23 |
| 311, 2, 17, 7, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 137 x 311 x 2 x 17 x 7 x 23 = 16092919542
Therefore, the lowest common multiple of 933,822,391,959,529 is 16092919542.
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 822 x 391 x 959 x 529 = 152126368430526
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
822 : 1, 2, 3, 6, 137, 274, 411, 822
391 : 1, 17, 23, 391
959 : 1, 7, 137, 959
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,822,391,959,529, is 1.
Now, the common factors can be found like this.
933:3x 311
822:2x 3x 137
391:17x 23
959:7x 137
529:23x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 137 = 9453
Therefore, the value for common factors is 9453.
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 = 152126368430526/(1x9453)
LCM = 152126368430526/9453
LCM = 16092919542
Thus, we can understand that the LCM of 933,822,391,959,529 is 16092919542.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 933, 822, 391, 959, 529
1. What is the LCM of 933, 822, 391, 959, 529?
Answer: LCM of 933, 822, 391, 959, 529 is 16092919542.
2. How to calculate the LCM of 933, 822, 391, 959, 529?
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, 822, 391, 959, 529.
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}.