Find the LCM of 288, 810, 219, 864, 521 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 288, 810, 219, 864, 521. So, keep reading to learn more.
Given numbers are 288,810,219,864,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,810,219,864,521 is 492907680.
Find LCM of 288,810,219,864,521 with Prime Factorization
2 | 288, 810, 219, 864, 521 |
2 | 144, 405, 219, 432, 521 |
2 | 72, 405, 219, 216, 521 |
2 | 36, 405, 219, 108, 521 |
2 | 18, 405, 219, 54, 521 |
3 | 9, 405, 219, 27, 521 |
3 | 3, 135, 73, 9, 521 |
3 | 1, 45, 73, 3, 521 |
1, 15, 73, 1, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 1 x 15 x 73 x 1 x 521 = 492907680
Therefore, the lowest common multiple of 288,810,219,864,521 is 492907680.
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.
288 x 810 x 219 x 864 x 521 = 22997100718080
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
219 : 1, 3, 73, 219
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
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,810,219,864,521, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
810:2x 3x 3x 3x 3x 5
219:3x 73
864:2x 2x 2x 2x 2x 3x 3x 3
521:521
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 2x 2x 3x 3x 3x 3x 3x 3 = 46656
Therefore, the value for common factors is 46656.
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 = 22997100718080/(1x46656)
LCM = 22997100718080/46656
LCM = 492907680
Thus, we can understand that the LCM of 288,810,219,864,521 is 492907680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 810, 219, 864, 521?
Answer: LCM of 288, 810, 219, 864, 521 is 492907680.
2. How to calculate the LCM of 288, 810, 219, 864, 521?
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 288, 810, 219, 864, 521.
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}.