LCM of 365, 205, 943, 205, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 205, 943, 205, 779 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 365, 205, 943, 205, 779. So, keep reading to learn more.
Given numbers are 365,205,943,205,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,205,943,205,779 is 6539705.
Find LCM of 365,205,943,205,779 with Prime Factorization
| 5 | 365, 205, 943, 205, 779 |
| 41 | 73, 41, 943, 41, 779 |
| 73, 1, 23, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
5 x 41 x 73 x 1 x 23 x 1 x 19 = 6539705
Therefore, the lowest common multiple of 365,205,943,205,779 is 6539705.
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.
365 x 205 x 943 x 205 x 779 = 11268075207625
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.
365 : 1, 5, 73, 365
205 : 1, 5, 41, 205
943 : 1, 23, 41, 943
205 : 1, 5, 41, 205
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,205,943,205,779, is 1.
Now, the common factors can be found like this.
365:5x 73
205:5x 41
943:23x 41
205:5x 41
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 41x 41x 41 = 1723025
Therefore, the value for common factors is 1723025.
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 = 11268075207625/(1x1723025)
LCM = 11268075207625/1723025
LCM = 6539705
Thus, we can understand that the LCM of 365,205,943,205,779 is 6539705.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 365, 205, 943, 205, 779
1. What is the LCM of 365, 205, 943, 205, 779?
Answer: LCM of 365, 205, 943, 205, 779 is 6539705.
2. How to calculate the LCM of 365, 205, 943, 205, 779?
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 365, 205, 943, 205, 779.
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}.