LCM of 413, 315, 351, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 413, 315, 351, 609 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, 315, 351, 609. So, keep reading to learn more.
Given numbers are 413,315,351,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,315,351,609 is 21019635.
Find LCM of 413,315,351,609 with Prime Factorization
| 3 | 413, 315, 351, 609 |
| 3 | 413, 105, 117, 203 |
| 7 | 413, 35, 39, 203 |
| 59, 5, 39, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 59 x 5 x 39 x 29 = 21019635
Therefore, the lowest common multiple of 413,315,351,609 is 21019635.
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 315 x 351 x 609 = 27808977105
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
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
351 : 1, 3, 9, 13, 27, 39, 117, 351
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,315,351,609, is 1.
Now, the common factors can be found like this.
413:7x 59
315:3x 3x 5x 7
351:3x 3x 3x 13
609:3x 7x 29
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 3x 7x 7 = 1323
Therefore, the value for common factors is 1323.
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 = 27808977105/(1x1323)
LCM = 27808977105/1323
LCM = 21019635
Thus, we can understand that the LCM of 413,315,351,609 is 21019635.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 413, 315, 351, 609
1. What is the LCM of 413, 315, 351, 609?
Answer: LCM of 413, 315, 351, 609 is 21019635.
2. How to calculate the LCM of 413, 315, 351, 609?
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, 315, 351, 609.
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}.