Find the LCM of 288, 216, 897, 702 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, 702. So, keep reading to learn more.
Given numbers are 288,216,897,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,216,897,702 is 258336.
Find LCM of 288,216,897,702 with Prime Factorization
2 | 288, 216, 897, 702 |
2 | 144, 108, 897, 351 |
2 | 72, 54, 897, 351 |
3 | 36, 27, 897, 351 |
3 | 12, 9, 299, 117 |
3 | 4, 3, 299, 39 |
13 | 4, 1, 299, 13 |
4, 1, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 13 x 4 x 1 x 23 x 1 = 258336
Therefore, the lowest common multiple of 288,216,897,702 is 258336.
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 702 = 39172004352
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
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,216,897,702, is 3.
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
702:2x 3x 3x 3x 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 3x 3x 3x 3x 3x 13 = 50544
Therefore, the value for common factors is 50544.
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 = 39172004352/(3x50544)
LCM = 39172004352/151632
LCM = 258336
Thus, we can understand that the LCM of 288,216,897,702 is 258336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 216, 897, 702?
Answer: LCM of 288, 216, 897, 702 is 258336.
2. How to calculate the LCM of 288, 216, 897, 702?
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, 702.
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}.