LCM of 227, 384, 513, 399, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 384, 513, 399, 682 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 227, 384, 513, 399, 682. So, keep reading to learn more.
Given numbers are 227,384,513,399,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,384,513,399,682 is 35579972736.
Find LCM of 227,384,513,399,682 with Prime Factorization
| 2 | 227, 384, 513, 399, 682 |
| 3 | 227, 192, 513, 399, 341 |
| 19 | 227, 64, 171, 133, 341 |
| 227, 64, 9, 7, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 227 x 64 x 9 x 7 x 341 = 35579972736
Therefore, the lowest common multiple of 227,384,513,399,682 is 35579972736.
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.
227 x 384 x 513 x 399 x 682 = 12168350675712
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.
227 : 1, 227
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
513 : 1, 3, 9, 19, 27, 57, 171, 513
399 : 1, 3, 7, 19, 21, 57, 133, 399
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,384,513,399,682, is 1.
Now, the common factors can be found like this.
227:227
384:2x 2x 2x 2x 2x 2x 2x 3
513:3x 3x 3x 19
399:3x 7x 19
682:2x 11x 31
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 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 12168350675712/(1x342)
LCM = 12168350675712/342
LCM = 35579972736
Thus, we can understand that the LCM of 227,384,513,399,682 is 35579972736.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 384, 513, 399, 682
1. What is the LCM of 227, 384, 513, 399, 682?
Answer: LCM of 227, 384, 513, 399, 682 is 35579972736.
2. How to calculate the LCM of 227, 384, 513, 399, 682?
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 227, 384, 513, 399, 682.
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}.