LCM of 258, 731, 419, 213, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 731, 419, 213, 242 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 258, 731, 419, 213, 242. So, keep reading to learn more.
Given numbers are 258,731,419,213,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,731,419,213,242 is 15787972794.
Find LCM of 258,731,419,213,242 with Prime Factorization
| 2 | 258, 731, 419, 213, 242 |
| 3 | 129, 731, 419, 213, 121 |
| 43 | 43, 731, 419, 71, 121 |
| 1, 17, 419, 71, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 1 x 17 x 419 x 71 x 121 = 15787972794
Therefore, the lowest common multiple of 258,731,419,213,242 is 15787972794.
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.
258 x 731 x 419 x 213 x 242 = 4073296980852
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
731 : 1, 17, 43, 731
419 : 1, 419
213 : 1, 3, 71, 213
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,731,419,213,242, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
731:17x 43
419:419
213:3x 71
242:2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 43 = 258
Therefore, the value for common factors is 258.
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 = 4073296980852/(1x258)
LCM = 4073296980852/258
LCM = 15787972794
Thus, we can understand that the LCM of 258,731,419,213,242 is 15787972794.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 258, 731, 419, 213, 242
1. What is the LCM of 258, 731, 419, 213, 242?
Answer: LCM of 258, 731, 419, 213, 242 is 15787972794.
2. How to calculate the LCM of 258, 731, 419, 213, 242?
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 258, 731, 419, 213, 242.
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}.