LCM of 208, 209, 726, 779, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 208, 209, 726, 779, 623 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 208, 209, 726, 779, 623. So, keep reading to learn more.
Given numbers are 208,209,726,779,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,209,726,779,623 is 36643374768.
Find LCM of 208,209,726,779,623 with Prime Factorization
| 2 | 208, 209, 726, 779, 623 |
| 11 | 104, 209, 363, 779, 623 |
| 19 | 104, 19, 33, 779, 623 |
| 104, 1, 33, 41, 623 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 104 x 1 x 33 x 41 x 623 = 36643374768
Therefore, the lowest common multiple of 208,209,726,779,623 is 36643374768.
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.
208 x 209 x 726 x 779 x 623 = 15316930653024
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
209 : 1, 11, 19, 209
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
779 : 1, 19, 41, 779
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,209,726,779,623, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
209:11x 19
726:2x 3x 11x 11
779:19x 41
623:7x 89
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 = 15316930653024/(1x418)
LCM = 15316930653024/418
LCM = 36643374768
Thus, we can understand that the LCM of 208,209,726,779,623 is 36643374768.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 208, 209, 726, 779, 623
1. What is the LCM of 208, 209, 726, 779, 623?
Answer: LCM of 208, 209, 726, 779, 623 is 36643374768.
2. How to calculate the LCM of 208, 209, 726, 779, 623?
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 208, 209, 726, 779, 623.
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}.