LCM of 599, 558, 529, 674, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 558, 529, 674, 558 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, 558, 529, 674, 558. So, keep reading to learn more.
Given numbers are 599,558,529,674,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,558,529,674,558 is 59586324066.
Find LCM of 599,558,529,674,558 with Prime Factorization
| 2 | 599, 558, 529, 674, 558 |
| 3 | 599, 279, 529, 337, 279 |
| 3 | 599, 93, 529, 337, 93 |
| 31 | 599, 31, 529, 337, 31 |
| 599, 1, 529, 337, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 599 x 1 x 529 x 337 x 1 = 59586324066
Therefore, the lowest common multiple of 599,558,529,674,558 is 59586324066.
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 558 x 529 x 674 x 558 = 66498337657656
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
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
529 : 1, 23, 529
674 : 1, 2, 337, 674
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,558,529,674,558, is 1.
Now, the common factors can be found like this.
599:599
558:2x 3x 3x 31
529:23x 23
674:2x 337
558:2x 3x 3x 31
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 3x 3x 31 = 1116
Therefore, the value for common factors is 1116.
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 = 66498337657656/(1x1116)
LCM = 66498337657656/1116
LCM = 59586324066
Thus, we can understand that the LCM of 599,558,529,674,558 is 59586324066.
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FAQs on LCM of 599, 558, 529, 674, 558
1. What is the LCM of 599, 558, 529, 674, 558?
Answer: LCM of 599, 558, 529, 674, 558 is 59586324066.
2. How to calculate the LCM of 599, 558, 529, 674, 558?
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, 558, 529, 674, 558.
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}.