Find the LCM of 589, 422, 840, 963, 591 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 589, 422, 840, 963, 591. So, keep reading to learn more.
Given numbers are 589,422,840,963,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,422,840,963,591 is 6601586143320.
Find LCM of 589,422,840,963,591 with Prime Factorization
2 | 589, 422, 840, 963, 591 |
3 | 589, 211, 420, 963, 591 |
589, 211, 140, 321, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 589 x 211 x 140 x 321 x 197 = 6601586143320
Therefore, the lowest common multiple of 589,422,840,963,591 is 6601586143320.
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.
589 x 422 x 840 x 963 x 591 = 118828550579760
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.
589 : 1, 19, 31, 589
422 : 1, 2, 211, 422
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
963 : 1, 3, 9, 107, 321, 963
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,422,840,963,591, is 1.
Now, the common factors can be found like this.
589:19x 31
422:2x 211
840:2x 2x 2x 3x 5x 7
963:3x 3x 107
591:3x 197
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 3 = 18
Therefore, the value for common factors is 18.
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 = 118828550579760/(1x18)
LCM = 118828550579760/18
LCM = 6601586143320
Thus, we can understand that the LCM of 589,422,840,963,591 is 6601586143320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 422, 840, 963, 591?
Answer: LCM of 589, 422, 840, 963, 591 is 6601586143320.
2. How to calculate the LCM of 589, 422, 840, 963, 591?
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 589, 422, 840, 963, 591.
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}.