LCM of 579, 510, 163, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 510, 163, 255 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 579, 510, 163, 255. So, keep reading to learn more.
Given numbers are 579,510,163,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,510,163,255 is 16044090.
Find LCM of 579,510,163,255 with Prime Factorization
| 3 | 579, 510, 163, 255 |
| 5 | 193, 170, 163, 85 |
| 17 | 193, 34, 163, 17 |
| 193, 2, 163, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 193 x 2 x 163 x 1 = 16044090
Therefore, the lowest common multiple of 579,510,163,255 is 16044090.
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.
579 x 510 x 163 x 255 = 12273728850
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.
579 : 1, 3, 193, 579
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
163 : 1, 163
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,510,163,255, is 1.
Now, the common factors can be found like this.
579:3x 193
510:2x 3x 5x 17
163:163
255:3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 17 = 765
Therefore, the value for common factors is 765.
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 = 12273728850/(1x765)
LCM = 12273728850/765
LCM = 16044090
Thus, we can understand that the LCM of 579,510,163,255 is 16044090.
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FAQs on LCM of 579, 510, 163, 255
1. What is the LCM of 579, 510, 163, 255?
Answer: LCM of 579, 510, 163, 255 is 16044090.
2. How to calculate the LCM of 579, 510, 163, 255?
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 579, 510, 163, 255.
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}.