Find the LCM of 589, 834, 114, 742, 985 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, 834, 114, 742, 985. So, keep reading to learn more.
Given numbers are 589,834,114,742,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,834,114,742,985 is 179511173310.
Find LCM of 589,834,114,742,985 with Prime Factorization
2 | 589, 834, 114, 742, 985 |
3 | 589, 417, 57, 371, 985 |
19 | 589, 139, 19, 371, 985 |
31, 139, 1, 371, 985 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 31 x 139 x 1 x 371 x 985 = 179511173310
Therefore, the lowest common multiple of 589,834,114,742,985 is 179511173310.
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 834 x 114 x 742 x 985 = 40928547514680
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
834 : 1, 2, 3, 6, 139, 278, 417, 834
114 : 1, 2, 3, 6, 19, 38, 57, 114
742 : 1, 2, 7, 14, 53, 106, 371, 742
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,834,114,742,985, is 1.
Now, the common factors can be found like this.
589:19x 31
834:2x 3x 139
114:2x 3x 19
742:2x 7x 53
985:5x 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 2x 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 40928547514680/(1x228)
LCM = 40928547514680/228
LCM = 179511173310
Thus, we can understand that the LCM of 589,834,114,742,985 is 179511173310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 834, 114, 742, 985?
Answer: LCM of 589, 834, 114, 742, 985 is 179511173310.
2. How to calculate the LCM of 589, 834, 114, 742, 985?
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, 834, 114, 742, 985.
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}.