Find the LCM of 589, 132, 856, 484, 156 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, 132, 856, 484, 156. So, keep reading to learn more.
Given numbers are 589,132,856,484,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,132,856,484,156 is 2379244296.
Find LCM of 589,132,856,484,156 with Prime Factorization
2 | 589, 132, 856, 484, 156 |
2 | 589, 66, 428, 242, 78 |
3 | 589, 33, 214, 121, 39 |
11 | 589, 11, 214, 121, 13 |
589, 1, 214, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 589 x 1 x 214 x 11 x 13 = 2379244296
Therefore, the lowest common multiple of 589,132,856,484,156 is 2379244296.
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 132 x 856 x 484 x 156 = 5024963953152
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
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
856 : 1, 2, 4, 8, 107, 214, 428, 856
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,132,856,484,156, is 1.
Now, the common factors can be found like this.
589:19x 31
132:2x 2x 3x 11
856:2x 2x 2x 107
484:2x 2x 11x 11
156:2x 2x 3x 13
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 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 5024963953152/(1x2112)
LCM = 5024963953152/2112
LCM = 2379244296
Thus, we can understand that the LCM of 589,132,856,484,156 is 2379244296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 132, 856, 484, 156?
Answer: LCM of 589, 132, 856, 484, 156 is 2379244296.
2. How to calculate the LCM of 589, 132, 856, 484, 156?
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, 132, 856, 484, 156.
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}.