LCM of 517, 778, 728, 209, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 778, 728, 209, 323 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 517, 778, 728, 209, 323. So, keep reading to learn more.
Given numbers are 517,778,728,209,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,778,728,209,323 is 47290515272.
Find LCM of 517,778,728,209,323 with Prime Factorization
| 2 | 517, 778, 728, 209, 323 |
| 11 | 517, 389, 364, 209, 323 |
| 19 | 47, 389, 364, 19, 323 |
| 47, 389, 364, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 47 x 389 x 364 x 1 x 17 = 47290515272
Therefore, the lowest common multiple of 517,778,728,209,323 is 47290515272.
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.
517 x 778 x 728 x 209 x 323 = 19767435383696
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.
517 : 1, 11, 47, 517
778 : 1, 2, 389, 778
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
209 : 1, 11, 19, 209
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,778,728,209,323, is 1.
Now, the common factors can be found like this.
517:11x 47
778:2x 389
728:2x 2x 2x 7x 13
209:11x 19
323:17x 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 11x 19 = 418
Therefore, the value for common factors is 418.
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 = 19767435383696/(1x418)
LCM = 19767435383696/418
LCM = 47290515272
Thus, we can understand that the LCM of 517,778,728,209,323 is 47290515272.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 778, 728, 209, 323
1. What is the LCM of 517, 778, 728, 209, 323?
Answer: LCM of 517, 778, 728, 209, 323 is 47290515272.
2. How to calculate the LCM of 517, 778, 728, 209, 323?
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 517, 778, 728, 209, 323.
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}.