LCM of 459, 595, 545, 289, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 595, 545, 289, 897 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, 595, 545, 289, 897. So, keep reading to learn more.
Given numbers are 459,595,545,289,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,595,545,289,897 is 8900765055.
Find LCM of 459,595,545,289,897 with Prime Factorization
| 3 | 459, 595, 545, 289, 897 |
| 5 | 153, 595, 545, 289, 299 |
| 17 | 153, 119, 109, 289, 299 |
| 9, 7, 109, 17, 299 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 9 x 7 x 109 x 17 x 299 = 8900765055
Therefore, the lowest common multiple of 459,595,545,289,897 is 8900765055.
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 595 x 545 x 289 x 897 = 38584816513425
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
595 : 1, 5, 7, 17, 35, 85, 119, 595
545 : 1, 5, 109, 545
289 : 1, 17, 289
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,595,545,289,897, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
595:5x 7x 17
545:5x 109
289:17x 17
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 17x 17 = 4335
Therefore, the value for common factors is 4335.
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 = 38584816513425/(1x4335)
LCM = 38584816513425/4335
LCM = 8900765055
Thus, we can understand that the LCM of 459,595,545,289,897 is 8900765055.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 459, 595, 545, 289, 897
1. What is the LCM of 459, 595, 545, 289, 897?
Answer: LCM of 459, 595, 545, 289, 897 is 8900765055.
2. How to calculate the LCM of 459, 595, 545, 289, 897?
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, 595, 545, 289, 897.
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}.