Find the LCM of 585, 225, 324, 223, 465 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 585, 225, 324, 223, 465. So, keep reading to learn more.
Given numbers are 585,225,324,223,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,225,324,223,465 is 727938900.
Find LCM of 585,225,324,223,465 with Prime Factorization
3 | 585, 225, 324, 223, 465 |
3 | 195, 75, 108, 223, 155 |
5 | 65, 25, 36, 223, 155 |
13, 5, 36, 223, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 5 x 36 x 223 x 31 = 727938900
Therefore, the lowest common multiple of 585,225,324,223,465 is 727938900.
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.
585 x 225 x 324 x 223 x 465 = 4422228817500
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
223 : 1, 223
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,225,324,223,465, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
225:3x 3x 5x 5
324:2x 2x 3x 3x 3x 3
223:223
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 5x 5 = 6075
Therefore, the value for common factors is 6075.
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 = 4422228817500/(1x6075)
LCM = 4422228817500/6075
LCM = 727938900
Thus, we can understand that the LCM of 585,225,324,223,465 is 727938900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 585, 225, 324, 223, 465?
Answer: LCM of 585, 225, 324, 223, 465 is 727938900.
2. How to calculate the LCM of 585, 225, 324, 223, 465?
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 585, 225, 324, 223, 465.
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}.