LCM of 255, 503, 798, 315, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 255, 503, 798, 315, 204 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 255, 503, 798, 315, 204. So, keep reading to learn more.
Given numbers are 255,503,798,315,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,503,798,315,204 is 204710940.
Find LCM of 255,503,798,315,204 with Prime Factorization
| 2 | 255, 503, 798, 315, 204 |
| 3 | 255, 503, 399, 315, 102 |
| 5 | 85, 503, 133, 105, 34 |
| 7 | 17, 503, 133, 21, 34 |
| 17 | 17, 503, 19, 3, 34 |
| 1, 503, 19, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 1 x 503 x 19 x 3 x 2 = 204710940
Therefore, the lowest common multiple of 255,503,798,315,204 is 204710940.
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.
255 x 503 x 798 x 315 x 204 = 6577362502200
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.
255 : 1, 3, 5, 15, 17, 51, 85, 255
503 : 1, 503
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,503,798,315,204, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
503:503
798:2x 3x 7x 19
315:3x 3x 5x 7
204:2x 2x 3x 17
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 3x 3x 5x 7x 17 = 32130
Therefore, the value for common factors is 32130.
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 = 6577362502200/(1x32130)
LCM = 6577362502200/32130
LCM = 204710940
Thus, we can understand that the LCM of 255,503,798,315,204 is 204710940.
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FAQs on LCM of 255, 503, 798, 315, 204
1. What is the LCM of 255, 503, 798, 315, 204?
Answer: LCM of 255, 503, 798, 315, 204 is 204710940.
2. How to calculate the LCM of 255, 503, 798, 315, 204?
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 255, 503, 798, 315, 204.
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}.