Find the LCM of 285, 180, 670, 555, 657 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 285, 180, 670, 555, 657. So, keep reading to learn more.
Given numbers are 285,180,670,555,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,180,670,555,657 is 618907140.
Find LCM of 285,180,670,555,657 with Prime Factorization
2 | 285, 180, 670, 555, 657 |
3 | 285, 90, 335, 555, 657 |
3 | 95, 30, 335, 185, 219 |
5 | 95, 10, 335, 185, 73 |
19, 2, 67, 37, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 19 x 2 x 67 x 37 x 73 = 618907140
Therefore, the lowest common multiple of 285,180,670,555,657 is 618907140.
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.
285 x 180 x 670 x 555 x 657 = 12532869585000
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
670 : 1, 2, 5, 10, 67, 134, 335, 670
555 : 1, 3, 5, 15, 37, 111, 185, 555
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,180,670,555,657, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
180:2x 2x 3x 3x 5
670:2x 5x 67
555:3x 5x 37
657:3x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5x 5x 5 = 20250
Therefore, the value for common factors is 20250.
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 = 12532869585000/(1x20250)
LCM = 12532869585000/20250
LCM = 618907140
Thus, we can understand that the LCM of 285,180,670,555,657 is 618907140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 285, 180, 670, 555, 657?
Answer: LCM of 285, 180, 670, 555, 657 is 618907140.
2. How to calculate the LCM of 285, 180, 670, 555, 657?
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 285, 180, 670, 555, 657.
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}.