Find the LCM of 486, 810, 390, 258, 954 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 486, 810, 390, 258, 954. So, keep reading to learn more.
Given numbers are 486,810,390,258,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,810,390,258,954 is 71993610.
Find LCM of 486,810,390,258,954 with Prime Factorization
2 | 486, 810, 390, 258, 954 |
3 | 243, 405, 195, 129, 477 |
3 | 81, 135, 65, 43, 159 |
3 | 27, 45, 65, 43, 53 |
3 | 9, 15, 65, 43, 53 |
5 | 3, 5, 65, 43, 53 |
3, 1, 13, 43, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 3 x 1 x 13 x 43 x 53 = 71993610
Therefore, the lowest common multiple of 486,810,390,258,954 is 71993610.
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.
486 x 810 x 390 x 258 x 954 = 37788006016800
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
258 : 1, 2, 3, 6, 43, 86, 129, 258
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,810,390,258,954, is 6.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
810:2x 3x 3x 3x 3x 5
390:2x 3x 5x 13
258:2x 3x 43
954:2x 3x 3x 53
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 3x 3x 3x 3x 3x 3x 3x 5 = 87480
Therefore, the value for common factors is 87480.
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 = 37788006016800/(6x87480)
LCM = 37788006016800/524880
LCM = 71993610
Thus, we can understand that the LCM of 486,810,390,258,954 is 71993610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 486, 810, 390, 258, 954?
Answer: LCM of 486, 810, 390, 258, 954 is 71993610.
2. How to calculate the LCM of 486, 810, 390, 258, 954?
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 486, 810, 390, 258, 954.
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}.