Find the LCM of 288, 652, 208, 933, 522 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, 652, 208, 933, 522. So, keep reading to learn more.
Given numbers are 288,652,208,933,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,652,208,933,522 is 5504043168.
Find LCM of 288,652,208,933,522 with Prime Factorization
2 | 288, 652, 208, 933, 522 |
2 | 144, 326, 104, 933, 261 |
2 | 72, 163, 52, 933, 261 |
2 | 36, 163, 26, 933, 261 |
3 | 18, 163, 13, 933, 261 |
3 | 6, 163, 13, 311, 87 |
2, 163, 13, 311, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 2 x 163 x 13 x 311 x 29 = 5504043168
Therefore, the lowest common multiple of 288,652,208,933,522 is 5504043168.
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 652 x 208 x 933 x 522 = 19021973188608
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
652 : 1, 2, 4, 163, 326, 652
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
933 : 1, 3, 311, 933
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,652,208,933,522, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
652:2x 2x 163
208:2x 2x 2x 2x 13
933:3x 311
522:2x 3x 3x 29
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 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 19021973188608/(1x3456)
LCM = 19021973188608/3456
LCM = 5504043168
Thus, we can understand that the LCM of 288,652,208,933,522 is 5504043168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 652, 208, 933, 522?
Answer: LCM of 288, 652, 208, 933, 522 is 5504043168.
2. How to calculate the LCM of 288, 652, 208, 933, 522?
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, 652, 208, 933, 522.
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}.