Find the LCM of 288, 216, 897, 808, 143 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, 216, 897, 808, 143. So, keep reading to learn more.
Given numbers are 288,216,897,808,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,216,897,808,143 is 287011296.
Find LCM of 288,216,897,808,143 with Prime Factorization
2 | 288, 216, 897, 808, 143 |
2 | 144, 108, 897, 404, 143 |
2 | 72, 54, 897, 202, 143 |
3 | 36, 27, 897, 101, 143 |
3 | 12, 9, 299, 101, 143 |
13 | 4, 3, 299, 101, 143 |
4, 3, 23, 101, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 4 x 3 x 23 x 101 x 11 = 287011296
Therefore, the lowest common multiple of 288,216,897,808,143 is 287011296.
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 216 x 897 x 808 x 143 = 6447421753344
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
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
897 : 1, 3, 13, 23, 39, 69, 299, 897
808 : 1, 2, 4, 8, 101, 202, 404, 808
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,216,897,808,143, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
216:2x 2x 2x 3x 3x 3
897:3x 13x 23
808:2x 2x 2x 101
143:11x 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 2x 2x 2x 2x 2x 3x 3x 3x 13 = 22464
Therefore, the value for common factors is 22464.
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 = 6447421753344/(1x22464)
LCM = 6447421753344/22464
LCM = 287011296
Thus, we can understand that the LCM of 288,216,897,808,143 is 287011296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 216, 897, 808, 143?
Answer: LCM of 288, 216, 897, 808, 143 is 287011296.
2. How to calculate the LCM of 288, 216, 897, 808, 143?
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, 216, 897, 808, 143.
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}.