LCM of 829, 705, 299, 713, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 705, 299, 713, 558 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 829, 705, 299, 713, 558. So, keep reading to learn more.
Given numbers are 829,705,299,713,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,705,299,713,558 is 32503324230.
Find LCM of 829,705,299,713,558 with Prime Factorization
| 3 | 829, 705, 299, 713, 558 |
| 23 | 829, 235, 299, 713, 186 |
| 31 | 829, 235, 13, 31, 186 |
| 829, 235, 13, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 31 x 829 x 235 x 13 x 1 x 6 = 32503324230
Therefore, the lowest common multiple of 829,705,299,713,558 is 32503324230.
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.
829 x 705 x 299 x 713 x 558 = 69524610527970
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.
829 : 1, 829
705 : 1, 3, 5, 15, 47, 141, 235, 705
299 : 1, 13, 23, 299
713 : 1, 23, 31, 713
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,705,299,713,558, is 1.
Now, the common factors can be found like this.
829:829
705:3x 5x 47
299:13x 23
713:23x 31
558:2x 3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 31 = 2139
Therefore, the value for common factors is 2139.
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 = 69524610527970/(1x2139)
LCM = 69524610527970/2139
LCM = 32503324230
Thus, we can understand that the LCM of 829,705,299,713,558 is 32503324230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 829, 705, 299, 713, 558
1. What is the LCM of 829, 705, 299, 713, 558?
Answer: LCM of 829, 705, 299, 713, 558 is 32503324230.
2. How to calculate the LCM of 829, 705, 299, 713, 558?
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 829, 705, 299, 713, 558.
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}.