LCM of 205, 759, 943, 328, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 759, 943, 328, 998 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 205, 759, 943, 328, 998. So, keep reading to learn more.
Given numbers are 205,759,943,328,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,759,943,328,998 is 621135240.
Find LCM of 205,759,943,328,998 with Prime Factorization
| 2 | 205, 759, 943, 328, 998 |
| 23 | 205, 759, 943, 164, 499 |
| 41 | 205, 33, 41, 164, 499 |
| 5, 33, 1, 4, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 41 x 5 x 33 x 1 x 4 x 499 = 621135240
Therefore, the lowest common multiple of 205,759,943,328,998 is 621135240.
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.
205 x 759 x 943 x 328 x 998 = 48029903568240
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.
205 : 1, 5, 41, 205
759 : 1, 3, 11, 23, 33, 69, 253, 759
943 : 1, 23, 41, 943
328 : 1, 2, 4, 8, 41, 82, 164, 328
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,759,943,328,998, is 1.
Now, the common factors can be found like this.
205:5x 41
759:3x 11x 23
943:23x 41
328:2x 2x 2x 41
998:2x 499
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 41x 41 = 77326
Therefore, the value for common factors is 77326.
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 = 48029903568240/(1x77326)
LCM = 48029903568240/77326
LCM = 621135240
Thus, we can understand that the LCM of 205,759,943,328,998 is 621135240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 205, 759, 943, 328, 998
1. What is the LCM of 205, 759, 943, 328, 998?
Answer: LCM of 205, 759, 943, 328, 998 is 621135240.
2. How to calculate the LCM of 205, 759, 943, 328, 998?
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 205, 759, 943, 328, 998.
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}.