LCM of 595, 206, 478, 730, 599
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 206, 478, 730, 599 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 595, 206, 478, 730, 599. So, keep reading to learn more.
Given numbers are 595,206,478,730,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,206,478,730,599 is 1280948795210.
Find LCM of 595,206,478,730,599 with Prime Factorization
| 2 | 595, 206, 478, 730, 599 |
| 5 | 595, 103, 239, 365, 599 |
| 119, 103, 239, 73, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 119 x 103 x 239 x 73 x 599 = 1280948795210
Therefore, the lowest common multiple of 595,206,478,730,599 is 1280948795210.
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.
595 x 206 x 478 x 730 x 599 = 25618975904200
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
206 : 1, 2, 103, 206
478 : 1, 2, 239, 478
730 : 1, 2, 5, 10, 73, 146, 365, 730
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,206,478,730,599, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
206:2x 103
478:2x 239
730:2x 5x 73
599:599
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 5 = 20
Therefore, the value for common factors is 20.
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 = 25618975904200/(1x20)
LCM = 25618975904200/20
LCM = 1280948795210
Thus, we can understand that the LCM of 595,206,478,730,599 is 1280948795210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 595, 206, 478, 730, 599
1. What is the LCM of 595, 206, 478, 730, 599?
Answer: LCM of 595, 206, 478, 730, 599 is 1280948795210.
2. How to calculate the LCM of 595, 206, 478, 730, 599?
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 595, 206, 478, 730, 599.
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}.