Find the LCM of 180, 486, 514, 258 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 180, 486, 514, 258. So, keep reading to learn more.
Given numbers are 180,486,514,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,486,514,258 is 53707860.
Find LCM of 180,486,514,258 with Prime Factorization
2 | 180, 486, 514, 258 |
3 | 90, 243, 257, 129 |
3 | 30, 81, 257, 43 |
10, 27, 257, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 10 x 27 x 257 x 43 = 53707860
Therefore, the lowest common multiple of 180,486,514,258 is 53707860.
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.
180 x 486 x 514 x 258 = 11600897760
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
514 : 1, 2, 257, 514
258 : 1, 2, 3, 6, 43, 86, 129, 258
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,486,514,258, is 2.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
486:2x 3x 3x 3x 3x 3
514:2x 257
258:2x 3x 43
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 11600897760/(2x108)
LCM = 11600897760/216
LCM = 53707860
Thus, we can understand that the LCM of 180,486,514,258 is 53707860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 180, 486, 514, 258?
Answer: LCM of 180, 486, 514, 258 is 53707860.
2. How to calculate the LCM of 180, 486, 514, 258?
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 180, 486, 514, 258.
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}.