Find the LCM of 573, 468, 998, 756, 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 573, 468, 998, 756, 529. So, keep reading to learn more.
Given numbers are 573,468,998,756,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,468,998,756,529 is 495512634708.
Find LCM of 573,468,998,756,529 with Prime Factorization
2 | 573, 468, 998, 756, 529 |
2 | 573, 234, 499, 378, 529 |
3 | 573, 117, 499, 189, 529 |
3 | 191, 39, 499, 63, 529 |
191, 13, 499, 21, 529 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 191 x 13 x 499 x 21 x 529 = 495512634708
Therefore, the lowest common multiple of 573,468,998,756,529 is 495512634708.
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.
573 x 468 x 998 x 756 x 529 = 107030729096928
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.
573 : 1, 3, 191, 573
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
998 : 1, 2, 499, 998
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,468,998,756,529, is 1.
Now, the common factors can be found like this.
573:3x 191
468:2x 2x 3x 3x 13
998:2x 499
756:2x 2x 3x 3x 3x 7
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.
2x 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 107030729096928/(1x216)
LCM = 107030729096928/216
LCM = 495512634708
Thus, we can understand that the LCM of 573,468,998,756,529 is 495512634708.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 468, 998, 756, 529?
Answer: LCM of 573, 468, 998, 756, 529 is 495512634708.
2. How to calculate the LCM of 573, 468, 998, 756, 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 573, 468, 998, 756, 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}.