Find the LCM of 580, 320, 529, 768, 858 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 580, 320, 529, 768, 858. So, keep reading to learn more.
Given numbers are 580,320,529,768,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,320,529,768,858 is 8424049920.
Find LCM of 580,320,529,768,858 with Prime Factorization
2 | 580, 320, 529, 768, 858 |
2 | 290, 160, 529, 384, 429 |
2 | 145, 80, 529, 192, 429 |
2 | 145, 40, 529, 96, 429 |
2 | 145, 20, 529, 48, 429 |
2 | 145, 10, 529, 24, 429 |
3 | 145, 5, 529, 12, 429 |
5 | 145, 5, 529, 4, 143 |
29, 1, 529, 4, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 1 x 529 x 4 x 143 = 8424049920
Therefore, the lowest common multiple of 580,320,529,768,858 is 8424049920.
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.
580 x 320 x 529 x 768 x 858 = 64696703385600
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
529 : 1, 23, 529
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,320,529,768,858, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
320:2x 2x 2x 2x 2x 2x 5
529:23x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
858:2x 3x 11x 13
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 2x 2x 2x 2x 2x 3x 5 = 7680
Therefore, the value for common factors is 7680.
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 = 64696703385600/(1x7680)
LCM = 64696703385600/7680
LCM = 8424049920
Thus, we can understand that the LCM of 580,320,529,768,858 is 8424049920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 580, 320, 529, 768, 858?
Answer: LCM of 580, 320, 529, 768, 858 is 8424049920.
2. How to calculate the LCM of 580, 320, 529, 768, 858?
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 580, 320, 529, 768, 858.
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}.