LCM of 345, 413, 589, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 413, 589, 399 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 345, 413, 589, 399. So, keep reading to learn more.
Given numbers are 345,413,589,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,413,589,399 is 83923665.
Find LCM of 345,413,589,399 with Prime Factorization
| 3 | 345, 413, 589, 399 |
| 7 | 115, 413, 589, 133 |
| 19 | 115, 59, 589, 19 |
| 115, 59, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 115 x 59 x 31 x 1 = 83923665
Therefore, the lowest common multiple of 345,413,589,399 is 83923665.
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.
345 x 413 x 589 x 399 = 33485542335
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
413 : 1, 7, 59, 413
589 : 1, 19, 31, 589
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,413,589,399, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
413:7x 59
589:19x 31
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 19 = 399
Therefore, the value for common factors is 399.
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 = 33485542335/(1x399)
LCM = 33485542335/399
LCM = 83923665
Thus, we can understand that the LCM of 345,413,589,399 is 83923665.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 345, 413, 589, 399
1. What is the LCM of 345, 413, 589, 399?
Answer: LCM of 345, 413, 589, 399 is 83923665.
2. How to calculate the LCM of 345, 413, 589, 399?
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 345, 413, 589, 399.
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}.