LCM of 469, 394, 486, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 394, 486, 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 469, 394, 486, 258. So, keep reading to learn more.
Given numbers are 469,394,486,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,394,486,258 is 1930828914.
Find LCM of 469,394,486,258 with Prime Factorization
| 2 | 469, 394, 486, 258 |
| 3 | 469, 197, 243, 129 |
| 469, 197, 81, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 469 x 197 x 81 x 43 = 1930828914
Therefore, the lowest common multiple of 469,394,486,258 is 1930828914.
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.
469 x 394 x 486 x 258 = 23169946968
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.
469 : 1, 7, 67, 469
394 : 1, 2, 197, 394
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,394,486,258, is 1.
Now, the common factors can be found like this.
469:7x 67
394:2x 197
486:2x 3x 3x 3x 3x 3
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 3 = 12
Therefore, the value for common factors is 12.
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 = 23169946968/(1x12)
LCM = 23169946968/12
LCM = 1930828914
Thus, we can understand that the LCM of 469,394,486,258 is 1930828914.
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FAQs on LCM of 469, 394, 486, 258
1. What is the LCM of 469, 394, 486, 258?
Answer: LCM of 469, 394, 486, 258 is 1930828914.
2. How to calculate the LCM of 469, 394, 486, 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 469, 394, 486, 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}.