Find the LCM of 586, 158, 474, 898 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 586, 158, 474, 898. So, keep reading to learn more.
Given numbers are 586,158,474,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,158,474,898 is 62358018.
Find LCM of 586,158,474,898 with Prime Factorization
2 | 586, 158, 474, 898 |
79 | 293, 79, 237, 449 |
293, 1, 3, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 293 x 1 x 3 x 449 = 62358018
Therefore, the lowest common multiple of 586,158,474,898 is 62358018.
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.
586 x 158 x 474 x 898 = 39410267376
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.
586 : 1, 2, 293, 586
158 : 1, 2, 79, 158
474 : 1, 2, 3, 6, 79, 158, 237, 474
898 : 1, 2, 449, 898
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,158,474,898, is 2.
Now, the common factors can be found like this.
586:2x 293
158:2x 79
474:2x 3x 79
898:2x 449
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 79 = 316
Therefore, the value for common factors is 316.
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 = 39410267376/(2x316)
LCM = 39410267376/632
LCM = 62358018
Thus, we can understand that the LCM of 586,158,474,898 is 62358018.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 158, 474, 898?
Answer: LCM of 586, 158, 474, 898 is 62358018.
2. How to calculate the LCM of 586, 158, 474, 898?
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 586, 158, 474, 898.
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}.