Find the LCM of 589, 598, 324, 260, 124 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, 598, 324, 260, 124. So, keep reading to learn more.
Given numbers are 589,598,324,260,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,598,324,260,124 is 285299820.
Find LCM of 589,598,324,260,124 with Prime Factorization
2 | 589, 598, 324, 260, 124 |
2 | 589, 299, 162, 130, 62 |
13 | 589, 299, 81, 65, 31 |
31 | 589, 23, 81, 5, 31 |
19, 23, 81, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 31 x 19 x 23 x 81 x 5 x 1 = 285299820
Therefore, the lowest common multiple of 589,598,324,260,124 is 285299820.
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 598 x 324 x 260 x 124 = 3679226478720
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
598 : 1, 2, 13, 23, 26, 46, 299, 598
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,598,324,260,124, is 1.
Now, the common factors can be found like this.
589:19x 31
598:2x 13x 23
324:2x 2x 3x 3x 3x 3
260:2x 2x 5x 13
124:2x 2x 31
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 2x 2x 13x 31 = 12896
Therefore, the value for common factors is 12896.
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 = 3679226478720/(1x12896)
LCM = 3679226478720/12896
LCM = 285299820
Thus, we can understand that the LCM of 589,598,324,260,124 is 285299820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 598, 324, 260, 124?
Answer: LCM of 589, 598, 324, 260, 124 is 285299820.
2. How to calculate the LCM of 589, 598, 324, 260, 124?
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, 598, 324, 260, 124.
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}.