LCM of 218, 663, 416, 529, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 663, 416, 529, 829 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 218, 663, 416, 529, 829. So, keep reading to learn more.
Given numbers are 218,663,416,529,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,663,416,529,829 is 1014145358304.
Find LCM of 218,663,416,529,829 with Prime Factorization
| 2 | 218, 663, 416, 529, 829 |
| 13 | 109, 663, 208, 529, 829 |
| 109, 51, 16, 529, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 109 x 51 x 16 x 529 x 829 = 1014145358304
Therefore, the lowest common multiple of 218,663,416,529,829 is 1014145358304.
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.
218 x 663 x 416 x 529 x 829 = 26367779315904
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.
218 : 1, 2, 109, 218
663 : 1, 3, 13, 17, 39, 51, 221, 663
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
529 : 1, 23, 529
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,663,416,529,829, is 1.
Now, the common factors can be found like this.
218:2x 109
663:3x 13x 17
416:2x 2x 2x 2x 2x 13
529:23x 23
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 26367779315904/(1x26)
LCM = 26367779315904/26
LCM = 1014145358304
Thus, we can understand that the LCM of 218,663,416,529,829 is 1014145358304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 663, 416, 529, 829
1. What is the LCM of 218, 663, 416, 529, 829?
Answer: LCM of 218, 663, 416, 529, 829 is 1014145358304.
2. How to calculate the LCM of 218, 663, 416, 529, 829?
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 218, 663, 416, 529, 829.
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}.