Find the LCM of 422, 559, 984, 580 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 422, 559, 984, 580. So, keep reading to learn more.
Given numbers are 422,559,984,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,559,984,580 is 16828963320.
Find LCM of 422,559,984,580 with Prime Factorization
2 | 422, 559, 984, 580 |
2 | 211, 559, 492, 290 |
211, 559, 246, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 211 x 559 x 246 x 145 = 16828963320
Therefore, the lowest common multiple of 422,559,984,580 is 16828963320.
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.
422 x 559 x 984 x 580 = 134631706560
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.
422 : 1, 2, 211, 422
559 : 1, 13, 43, 559
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,559,984,580, is 1.
Now, the common factors can be found like this.
422:2x 211
559:13x 43
984:2x 2x 2x 3x 41
580:2x 2x 5x 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 2 = 8
Therefore, the value for common factors is 8.
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 = 134631706560/(1x8)
LCM = 134631706560/8
LCM = 16828963320
Thus, we can understand that the LCM of 422,559,984,580 is 16828963320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 559, 984, 580?
Answer: LCM of 422, 559, 984, 580 is 16828963320.
2. How to calculate the LCM of 422, 559, 984, 580?
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 422, 559, 984, 580.
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}.