LCM of 455, 458, 531, 351, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 458, 531, 351, 899 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 455, 458, 531, 351, 899. So, keep reading to learn more.
Given numbers are 455,458,531,351,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,458,531,351,899 is 298436777730.
Find LCM of 455,458,531,351,899 with Prime Factorization
| 3 | 455, 458, 531, 351, 899 |
| 3 | 455, 458, 177, 117, 899 |
| 13 | 455, 458, 59, 39, 899 |
| 35, 458, 59, 3, 899 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 35 x 458 x 59 x 3 x 899 = 298436777730
Therefore, the lowest common multiple of 455,458,531,351,899 is 298436777730.
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.
455 x 458 x 531 x 351 x 899 = 34917102994410
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
458 : 1, 2, 229, 458
531 : 1, 3, 9, 59, 177, 531
351 : 1, 3, 9, 13, 27, 39, 117, 351
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,458,531,351,899, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
458:2x 229
531:3x 3x 59
351:3x 3x 3x 13
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 34917102994410/(1x117)
LCM = 34917102994410/117
LCM = 298436777730
Thus, we can understand that the LCM of 455,458,531,351,899 is 298436777730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 455, 458, 531, 351, 899
1. What is the LCM of 455, 458, 531, 351, 899?
Answer: LCM of 455, 458, 531, 351, 899 is 298436777730.
2. How to calculate the LCM of 455, 458, 531, 351, 899?
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 455, 458, 531, 351, 899.
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}.