LCM of 434, 597, 413, 713, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 597, 413, 713, 586 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 434, 597, 413, 713, 586. So, keep reading to learn more.
Given numbers are 434,597,413,713,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,597,413,713,586 is 103017623898.
Find LCM of 434,597,413,713,586 with Prime Factorization
| 2 | 434, 597, 413, 713, 586 |
| 7 | 217, 597, 413, 713, 293 |
| 31 | 31, 597, 59, 713, 293 |
| 1, 597, 59, 23, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 1 x 597 x 59 x 23 x 293 = 103017623898
Therefore, the lowest common multiple of 434,597,413,713,586 is 103017623898.
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.
434 x 597 x 413 x 713 x 586 = 44709648771732
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
597 : 1, 3, 199, 597
413 : 1, 7, 59, 413
713 : 1, 23, 31, 713
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,597,413,713,586, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
597:3x 199
413:7x 59
713:23x 31
586:2x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 31 = 434
Therefore, the value for common factors is 434.
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 = 44709648771732/(1x434)
LCM = 44709648771732/434
LCM = 103017623898
Thus, we can understand that the LCM of 434,597,413,713,586 is 103017623898.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 434, 597, 413, 713, 586
1. What is the LCM of 434, 597, 413, 713, 586?
Answer: LCM of 434, 597, 413, 713, 586 is 103017623898.
2. How to calculate the LCM of 434, 597, 413, 713, 586?
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 434, 597, 413, 713, 586.
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}.