Find the LCM of 475, 768, 388, 781, 825 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 475, 768, 388, 781, 825. So, keep reading to learn more.
Given numbers are 475,768,388,781,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 475,768,388,781,825 is 27636153600.
Find LCM of 475,768,388,781,825 with Prime Factorization
2 | 475, 768, 388, 781, 825 |
2 | 475, 384, 194, 781, 825 |
3 | 475, 192, 97, 781, 825 |
5 | 475, 64, 97, 781, 275 |
5 | 95, 64, 97, 781, 55 |
11 | 19, 64, 97, 781, 11 |
19, 64, 97, 71, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 11 x 19 x 64 x 97 x 71 x 1 = 27636153600
Therefore, the lowest common multiple of 475,768,388,781,825 is 27636153600.
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.
475 x 768 x 388 x 781 x 825 = 91199306880000
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.
475 : 1, 5, 19, 25, 95, 475
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
388 : 1, 2, 4, 97, 194, 388
781 : 1, 11, 71, 781
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,768,388,781,825, is 1.
Now, the common factors can be found like this.
475:5x 5x 19
768:2x 2x 2x 2x 2x 2x 2x 2x 3
388:2x 2x 97
781:11x 71
825:3x 5x 5x 11
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 3x 5x 5x 11 = 3300
Therefore, the value for common factors is 3300.
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 = 91199306880000/(1x3300)
LCM = 91199306880000/3300
LCM = 27636153600
Thus, we can understand that the LCM of 475,768,388,781,825 is 27636153600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 475, 768, 388, 781, 825?
Answer: LCM of 475, 768, 388, 781, 825 is 27636153600.
2. How to calculate the LCM of 475, 768, 388, 781, 825?
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 475, 768, 388, 781, 825.
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}.