Find the LCM of 605, 555, 388, 530, 420 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 605, 555, 388, 530, 420. So, keep reading to learn more.
Given numbers are 605,555,388,530,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,555,388,530,420 is 9666827940.
Find LCM of 605,555,388,530,420 with Prime Factorization
2 | 605, 555, 388, 530, 420 |
2 | 605, 555, 194, 265, 210 |
3 | 605, 555, 97, 265, 105 |
5 | 605, 185, 97, 265, 35 |
121, 37, 97, 53, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 121 x 37 x 97 x 53 x 7 = 9666827940
Therefore, the lowest common multiple of 605,555,388,530,420 is 9666827940.
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.
605 x 555 x 388 x 530 x 420 = 29000483820000
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.
605 : 1, 5, 11, 55, 121, 605
555 : 1, 3, 5, 15, 37, 111, 185, 555
388 : 1, 2, 4, 97, 194, 388
530 : 1, 2, 5, 10, 53, 106, 265, 530
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,555,388,530,420, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
555:3x 5x 37
388:2x 2x 97
530:2x 5x 53
420:2x 2x 3x 5x 7
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 3x 5x 5x 5 = 3000
Therefore, the value for common factors is 3000.
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 = 29000483820000/(1x3000)
LCM = 29000483820000/3000
LCM = 9666827940
Thus, we can understand that the LCM of 605,555,388,530,420 is 9666827940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 555, 388, 530, 420?
Answer: LCM of 605, 555, 388, 530, 420 is 9666827940.
2. How to calculate the LCM of 605, 555, 388, 530, 420?
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 605, 555, 388, 530, 420.
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}.