LCM of 204, 382, 255, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 204, 382, 255, 697 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 204, 382, 255, 697. So, keep reading to learn more.
Given numbers are 204,382,255,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 204,382,255,697 is 7987620.
Find LCM of 204,382,255,697 with Prime Factorization
| 2 | 204, 382, 255, 697 |
| 3 | 102, 191, 255, 697 |
| 17 | 34, 191, 85, 697 |
| 2, 191, 5, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 2 x 191 x 5 x 41 = 7987620
Therefore, the lowest common multiple of 204,382,255,697 is 7987620.
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.
204 x 382 x 255 x 697 = 13850533080
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.
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
382 : 1, 2, 191, 382
255 : 1, 3, 5, 15, 17, 51, 85, 255
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,382,255,697, is 1.
Now, the common factors can be found like this.
204:2x 2x 3x 17
382:2x 191
255:3x 5x 17
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 17 = 1734
Therefore, the value for common factors is 1734.
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 = 13850533080/(1x1734)
LCM = 13850533080/1734
LCM = 7987620
Thus, we can understand that the LCM of 204,382,255,697 is 7987620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 204, 382, 255, 697
1. What is the LCM of 204, 382, 255, 697?
Answer: LCM of 204, 382, 255, 697 is 7987620.
2. How to calculate the LCM of 204, 382, 255, 697?
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 204, 382, 255, 697.
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}.