LCM of 393, 580, 406, 228, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 393, 580, 406, 228, 510 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 393, 580, 406, 228, 510. So, keep reading to learn more.
Given numbers are 393,580,406,228,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,580,406,228,510 is 515372340.
Find LCM of 393,580,406,228,510 with Prime Factorization
| 2 | 393, 580, 406, 228, 510 |
| 2 | 393, 290, 203, 114, 255 |
| 3 | 393, 145, 203, 57, 255 |
| 5 | 131, 145, 203, 19, 85 |
| 29 | 131, 29, 203, 19, 17 |
| 131, 1, 7, 19, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 131 x 1 x 7 x 19 x 17 = 515372340
Therefore, the lowest common multiple of 393,580,406,228,510 is 515372340.
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.
393 x 580 x 406 x 228 x 510 = 10760974459200
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.
393 : 1, 3, 131, 393
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
406 : 1, 2, 7, 14, 29, 58, 203, 406
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,580,406,228,510, is 1.
Now, the common factors can be found like this.
393:3x 131
580:2x 2x 5x 29
406:2x 7x 29
228:2x 2x 3x 19
510:2x 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.
2x 2x 2x 2x 3x 3x 5x 29 = 20880
Therefore, the value for common factors is 20880.
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 = 10760974459200/(1x20880)
LCM = 10760974459200/20880
LCM = 515372340
Thus, we can understand that the LCM of 393,580,406,228,510 is 515372340.
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FAQs on LCM of 393, 580, 406, 228, 510
1. What is the LCM of 393, 580, 406, 228, 510?
Answer: LCM of 393, 580, 406, 228, 510 is 515372340.
2. How to calculate the LCM of 393, 580, 406, 228, 510?
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 393, 580, 406, 228, 510.
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}.