Find the LCM of 205, 221, 987, 343, 765 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, 221, 987, 343, 765. So, keep reading to learn more.
Given numbers are 205,221,987,343,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,221,987,343,765 is 6573257145.
Find LCM of 205,221,987,343,765 with Prime Factorization
3 | 205, 221, 987, 343, 765 |
5 | 205, 221, 329, 343, 255 |
7 | 41, 221, 329, 343, 51 |
17 | 41, 221, 47, 49, 51 |
41, 13, 47, 49, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 17 x 41 x 13 x 47 x 49 x 3 = 6573257145
Therefore, the lowest common multiple of 205,221,987,343,765 is 6573257145.
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 221 x 987 x 343 x 765 = 11733264003825
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
221 : 1, 13, 17, 221
987 : 1, 3, 7, 21, 47, 141, 329, 987
343 : 1, 7, 49, 343
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,221,987,343,765, is 1.
Now, the common factors can be found like this.
205:5x 41
221:13x 17
987:3x 7x 47
343:7x 7x 7
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 17 = 1785
Therefore, the value for common factors is 1785.
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 = 11733264003825/(1x1785)
LCM = 11733264003825/1785
LCM = 6573257145
Thus, we can understand that the LCM of 205,221,987,343,765 is 6573257145.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 205, 221, 987, 343, 765?
Answer: LCM of 205, 221, 987, 343, 765 is 6573257145.
2. How to calculate the LCM of 205, 221, 987, 343, 765?
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, 221, 987, 343, 765.
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}.