Find the LCM of 855, 568, 942, 608, 390 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 855, 568, 942, 608, 390. So, keep reading to learn more.
Given numbers are 855,568,942,608,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,568,942,608,390 is 3964764960.
Find LCM of 855,568,942,608,390 with Prime Factorization
2 | 855, 568, 942, 608, 390 |
2 | 855, 284, 471, 304, 195 |
2 | 855, 142, 471, 152, 195 |
3 | 855, 71, 471, 76, 195 |
5 | 285, 71, 157, 76, 65 |
19 | 57, 71, 157, 76, 13 |
3, 71, 157, 4, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 3 x 71 x 157 x 4 x 13 = 3964764960
Therefore, the lowest common multiple of 855,568,942,608,390 is 3964764960.
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.
855 x 568 x 942 x 608 x 390 = 108475969305600
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
568 : 1, 2, 4, 8, 71, 142, 284, 568
942 : 1, 2, 3, 6, 157, 314, 471, 942
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,568,942,608,390, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
568:2x 2x 2x 71
942:2x 3x 157
608:2x 2x 2x 2x 2x 19
390:2x 3x 5x 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 3x 3x 5x 19 = 27360
Therefore, the value for common factors is 27360.
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 = 108475969305600/(1x27360)
LCM = 108475969305600/27360
LCM = 3964764960
Thus, we can understand that the LCM of 855,568,942,608,390 is 3964764960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 568, 942, 608, 390?
Answer: LCM of 855, 568, 942, 608, 390 is 3964764960.
2. How to calculate the LCM of 855, 568, 942, 608, 390?
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 855, 568, 942, 608, 390.
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}.