Find the LCM of 605, 589, 446, 589, 574 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, 589, 446, 589, 574. So, keep reading to learn more.
Given numbers are 605,589,446,589,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,589,446,589,574 is 45612872690.
Find LCM of 605,589,446,589,574 with Prime Factorization
2 | 605, 589, 446, 589, 574 |
19 | 605, 589, 223, 589, 287 |
31 | 605, 31, 223, 31, 287 |
605, 1, 223, 1, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 31 x 605 x 1 x 223 x 1 x 287 = 45612872690
Therefore, the lowest common multiple of 605,589,446,589,574 is 45612872690.
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 589 x 446 x 589 x 574 = 53731964028820
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
589 : 1, 19, 31, 589
446 : 1, 2, 223, 446
589 : 1, 19, 31, 589
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,589,446,589,574, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
589:19x 31
446:2x 223
589:19x 31
574:2x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 31 = 1178
Therefore, the value for common factors is 1178.
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 = 53731964028820/(1x1178)
LCM = 53731964028820/1178
LCM = 45612872690
Thus, we can understand that the LCM of 605,589,446,589,574 is 45612872690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 589, 446, 589, 574?
Answer: LCM of 605, 589, 446, 589, 574 is 45612872690.
2. How to calculate the LCM of 605, 589, 446, 589, 574?
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, 589, 446, 589, 574.
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}.