LCM of 464, 545, 589, 782, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 464, 545, 589, 782, 864 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 464, 545, 589, 782, 864. So, keep reading to learn more.
Given numbers are 464,545,589,782,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,545,589,782,864 is 3144852600480.
Find LCM of 464,545,589,782,864 with Prime Factorization
| 2 | 464, 545, 589, 782, 864 |
| 2 | 232, 545, 589, 391, 432 |
| 2 | 116, 545, 589, 391, 216 |
| 2 | 58, 545, 589, 391, 108 |
| 29, 545, 589, 391, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 545 x 589 x 391 x 54 = 3144852600480
Therefore, the lowest common multiple of 464,545,589,782,864 is 3144852600480.
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.
464 x 545 x 589 x 782 x 864 = 100635283215360
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
545 : 1, 5, 109, 545
589 : 1, 19, 31, 589
782 : 1, 2, 17, 23, 34, 46, 391, 782
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,545,589,782,864, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
545:5x 109
589:19x 31
782:2x 17x 23
864:2x 2x 2x 2x 2x 3x 3x 3
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 100635283215360/(1x32)
LCM = 100635283215360/32
LCM = 3144852600480
Thus, we can understand that the LCM of 464,545,589,782,864 is 3144852600480.
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FAQs on LCM of 464, 545, 589, 782, 864
1. What is the LCM of 464, 545, 589, 782, 864?
Answer: LCM of 464, 545, 589, 782, 864 is 3144852600480.
2. How to calculate the LCM of 464, 545, 589, 782, 864?
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 464, 545, 589, 782, 864.
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}.