LCM of 599, 408, 505, 629, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 408, 505, 629, 105 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 599, 408, 505, 629, 105. So, keep reading to learn more.
Given numbers are 599,408,505,629,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,408,505,629,105 is 31965251640.
Find LCM of 599,408,505,629,105 with Prime Factorization
| 3 | 599, 408, 505, 629, 105 |
| 5 | 599, 136, 505, 629, 35 |
| 17 | 599, 136, 101, 629, 7 |
| 599, 8, 101, 37, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 599 x 8 x 101 x 37 x 7 = 31965251640
Therefore, the lowest common multiple of 599,408,505,629,105 is 31965251640.
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.
599 x 408 x 505 x 629 x 105 = 8151139168200
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.
599 : 1, 599
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
505 : 1, 5, 101, 505
629 : 1, 17, 37, 629
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,408,505,629,105, is 1.
Now, the common factors can be found like this.
599:599
408:2x 2x 2x 3x 17
505:5x 101
629:17x 37
105:3x 5x 7
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 17 = 255
Therefore, the value for common factors is 255.
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 = 8151139168200/(1x255)
LCM = 8151139168200/255
LCM = 31965251640
Thus, we can understand that the LCM of 599,408,505,629,105 is 31965251640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 599, 408, 505, 629, 105
1. What is the LCM of 599, 408, 505, 629, 105?
Answer: LCM of 599, 408, 505, 629, 105 is 31965251640.
2. How to calculate the LCM of 599, 408, 505, 629, 105?
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 599, 408, 505, 629, 105.
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}.