LCM of 413, 308, 516, 231, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 413, 308, 516, 231, 608 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 413, 308, 516, 231, 608. So, keep reading to learn more.
Given numbers are 413,308,516,231,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,308,516,231,608 is 356316576.
Find LCM of 413,308,516,231,608 with Prime Factorization
| 2 | 413, 308, 516, 231, 608 |
| 2 | 413, 154, 258, 231, 304 |
| 3 | 413, 77, 129, 231, 152 |
| 7 | 413, 77, 43, 77, 152 |
| 11 | 59, 11, 43, 11, 152 |
| 59, 1, 43, 1, 152 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 59 x 1 x 43 x 1 x 152 = 356316576
Therefore, the lowest common multiple of 413,308,516,231,608 is 356316576.
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.
413 x 308 x 516 x 231 x 608 = 9218622454272
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.
413 : 1, 7, 59, 413
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
231 : 1, 3, 7, 11, 21, 33, 77, 231
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,308,516,231,608, is 1.
Now, the common factors can be found like this.
413:7x 59
308:2x 2x 7x 11
516:2x 2x 3x 43
231:3x 7x 11
608:2x 2x 2x 2x 2x 19
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 7x 7x 11 = 25872
Therefore, the value for common factors is 25872.
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 = 9218622454272/(1x25872)
LCM = 9218622454272/25872
LCM = 356316576
Thus, we can understand that the LCM of 413,308,516,231,608 is 356316576.
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FAQs on LCM of 413, 308, 516, 231, 608
1. What is the LCM of 413, 308, 516, 231, 608?
Answer: LCM of 413, 308, 516, 231, 608 is 356316576.
2. How to calculate the LCM of 413, 308, 516, 231, 608?
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 413, 308, 516, 231, 608.
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}.