LCM of 459, 899, 454, 425, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 899, 454, 425, 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 459, 899, 454, 425, 258. So, keep reading to learn more.
Given numbers are 459,899,454,425,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,899,454,425,258 is 201389440050.
Find LCM of 459,899,454,425,258 with Prime Factorization
| 2 | 459, 899, 454, 425, 258 |
| 3 | 459, 899, 227, 425, 129 |
| 17 | 153, 899, 227, 425, 43 |
| 9, 899, 227, 25, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 9 x 899 x 227 x 25 x 43 = 201389440050
Therefore, the lowest common multiple of 459,899,454,425,258 is 201389440050.
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.
459 x 899 x 454 x 425 x 258 = 20541722885100
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
899 : 1, 29, 31, 899
454 : 1, 2, 227, 454
425 : 1, 5, 17, 25, 85, 425
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 459,899,454,425,258, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
899:29x 31
454:2x 227
425:5x 5x 17
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 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 20541722885100/(1x102)
LCM = 20541722885100/102
LCM = 201389440050
Thus, we can understand that the LCM of 459,899,454,425,258 is 201389440050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 459, 899, 454, 425, 258
1. What is the LCM of 459, 899, 454, 425, 258?
Answer: LCM of 459, 899, 454, 425, 258 is 201389440050.
2. How to calculate the LCM of 459, 899, 454, 425, 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 459, 899, 454, 425, 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}.