LCM of 864, 595, 600, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 595, 600, 545 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 864, 595, 600, 545. So, keep reading to learn more.
Given numbers are 864,595,600,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,595,600,545 is 280173600.
Find LCM of 864,595,600,545 with Prime Factorization
| 2 | 864, 595, 600, 545 |
| 2 | 432, 595, 300, 545 |
| 2 | 216, 595, 150, 545 |
| 3 | 108, 595, 75, 545 |
| 5 | 36, 595, 25, 545 |
| 36, 119, 5, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 36 x 119 x 5 x 109 = 280173600
Therefore, the lowest common multiple of 864,595,600,545 is 280173600.
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.
864 x 595 x 600 x 545 = 168104160000
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
595 : 1, 5, 7, 17, 35, 85, 119, 595
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,595,600,545, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
595:5x 7x 17
600:2x 2x 2x 3x 5x 5
545:5x 109
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 168104160000/(1x600)
LCM = 168104160000/600
LCM = 280173600
Thus, we can understand that the LCM of 864,595,600,545 is 280173600.
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FAQs on LCM of 864, 595, 600, 545
1. What is the LCM of 864, 595, 600, 545?
Answer: LCM of 864, 595, 600, 545 is 280173600.
2. How to calculate the LCM of 864, 595, 600, 545?
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 864, 595, 600, 545.
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}.