LCM of 258, 450, 418, 898, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 450, 418, 898, 180 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, 450, 418, 898, 180. So, keep reading to learn more.
Given numbers are 258,450,418,898,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,450,418,898,180 is 3631646700.
Find LCM of 258,450,418,898,180 with Prime Factorization
| 2 | 258, 450, 418, 898, 180 |
| 3 | 129, 225, 209, 449, 90 |
| 3 | 43, 75, 209, 449, 30 |
| 5 | 43, 25, 209, 449, 10 |
| 43, 5, 209, 449, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 43 x 5 x 209 x 449 x 2 = 3631646700
Therefore, the lowest common multiple of 258,450,418,898,180 is 3631646700.
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 450 x 418 x 898 x 180 = 7844356872000
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
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
418 : 1, 2, 11, 19, 22, 38, 209, 418
898 : 1, 2, 449, 898
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,450,418,898,180, is 2.
Now, the common factors can be found like this.
258:2x 3x 43
450:2x 3x 3x 5x 5
418:2x 11x 19
898:2x 449
180:2x 2x 3x 3x 5
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 5 = 1080
Therefore, the value for common factors is 1080.
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 = 7844356872000/(2x1080)
LCM = 7844356872000/2160
LCM = 3631646700
Thus, we can understand that the LCM of 258,450,418,898,180 is 3631646700.
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FAQs on LCM of 258, 450, 418, 898, 180
1. What is the LCM of 258, 450, 418, 898, 180?
Answer: LCM of 258, 450, 418, 898, 180 is 3631646700.
2. How to calculate the LCM of 258, 450, 418, 898, 180?
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, 450, 418, 898, 180.
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}.