LCM of 913, 323, 513, 704, 212
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 323, 513, 704, 212 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 913, 323, 513, 704, 212. So, keep reading to learn more.
Given numbers are 913,323,513,704,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,323,513,704,212 is 27008030016.
Find LCM of 913,323,513,704,212 with Prime Factorization
| 2 | 913, 323, 513, 704, 212 |
| 2 | 913, 323, 513, 352, 106 |
| 11 | 913, 323, 513, 176, 53 |
| 19 | 83, 323, 513, 16, 53 |
| 83, 17, 27, 16, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 83 x 17 x 27 x 16 x 53 = 27008030016
Therefore, the lowest common multiple of 913,323,513,704,212 is 27008030016.
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.
913 x 323 x 513 x 704 x 212 = 22578713093376
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.
913 : 1, 11, 83, 913
323 : 1, 17, 19, 323
513 : 1, 3, 9, 19, 27, 57, 171, 513
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,323,513,704,212, is 1.
Now, the common factors can be found like this.
913:11x 83
323:17x 19
513:3x 3x 3x 19
704:2x 2x 2x 2x 2x 2x 11
212:2x 2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 22578713093376/(1x836)
LCM = 22578713093376/836
LCM = 27008030016
Thus, we can understand that the LCM of 913,323,513,704,212 is 27008030016.
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FAQs on LCM of 913, 323, 513, 704, 212
1. What is the LCM of 913, 323, 513, 704, 212?
Answer: LCM of 913, 323, 513, 704, 212 is 27008030016.
2. How to calculate the LCM of 913, 323, 513, 704, 212?
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 913, 323, 513, 704, 212.
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}.