LCM of 218, 464, 321, 429, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 464, 321, 429, 513 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, 464, 321, 429, 513. So, keep reading to learn more.
Given numbers are 218,464,321,429,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,464,321,429,513 is 396991911888.
Find LCM of 218,464,321,429,513 with Prime Factorization
| 2 | 218, 464, 321, 429, 513 |
| 3 | 109, 232, 321, 429, 513 |
| 109, 232, 107, 143, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 232 x 107 x 143 x 171 = 396991911888
Therefore, the lowest common multiple of 218,464,321,429,513 is 396991911888.
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 464 x 321 x 429 x 513 = 7145854413984
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
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
321 : 1, 3, 107, 321
429 : 1, 3, 11, 13, 33, 39, 143, 429
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,464,321,429,513, is 1.
Now, the common factors can be found like this.
218:2x 109
464:2x 2x 2x 2x 29
321:3x 107
429:3x 11x 13
513:3x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 7145854413984/(1x18)
LCM = 7145854413984/18
LCM = 396991911888
Thus, we can understand that the LCM of 218,464,321,429,513 is 396991911888.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 464, 321, 429, 513
1. What is the LCM of 218, 464, 321, 429, 513?
Answer: LCM of 218, 464, 321, 429, 513 is 396991911888.
2. How to calculate the LCM of 218, 464, 321, 429, 513?
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, 464, 321, 429, 513.
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}.