LCM of 230, 561, 567, 309, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 561, 567, 309, 728 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 230, 561, 567, 309, 728. So, keep reading to learn more.
Given numbers are 230,561,567,309,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,561,567,309,728 is 130615004520.
Find LCM of 230,561,567,309,728 with Prime Factorization
| 2 | 230, 561, 567, 309, 728 |
| 3 | 115, 561, 567, 309, 364 |
| 7 | 115, 187, 189, 103, 364 |
| 115, 187, 27, 103, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 115 x 187 x 27 x 103 x 52 = 130615004520
Therefore, the lowest common multiple of 230,561,567,309,728 is 130615004520.
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.
230 x 561 x 567 x 309 x 728 = 16457490569520
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
561 : 1, 3, 11, 17, 33, 51, 187, 561
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
309 : 1, 3, 103, 309
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,561,567,309,728, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
561:3x 11x 17
567:3x 3x 3x 3x 7
309:3x 103
728:2x 2x 2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 16457490569520/(1x126)
LCM = 16457490569520/126
LCM = 130615004520
Thus, we can understand that the LCM of 230,561,567,309,728 is 130615004520.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 230, 561, 567, 309, 728
1. What is the LCM of 230, 561, 567, 309, 728?
Answer: LCM of 230, 561, 567, 309, 728 is 130615004520.
2. How to calculate the LCM of 230, 561, 567, 309, 728?
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 230, 561, 567, 309, 728.
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}.