Find the LCM of 600, 180, 540, 568, 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 600, 180, 540, 568, 465. So, keep reading to learn more.
Given numbers are 600,180,540,568,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,180,540,568,465 is 11885400.
Find LCM of 600,180,540,568,465 with Prime Factorization
2 | 600, 180, 540, 568, 465 |
2 | 300, 90, 270, 284, 465 |
2 | 150, 45, 135, 142, 465 |
3 | 75, 45, 135, 71, 465 |
3 | 25, 15, 45, 71, 155 |
5 | 25, 5, 15, 71, 155 |
1, 5, 3, 71, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 1 x 5 x 3 x 71 x 31 = 11885400
Therefore, the lowest common multiple of 600,180,540,568,465 is 11885400.
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.
600 x 180 x 540 x 568 x 465 = 15403478400000
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.
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
568 : 1, 2, 4, 8, 71, 142, 284, 568
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 600,180,540,568,465, is 1.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
180:2x 2x 3x 3x 5
540:2x 2x 3x 3x 3x 5
568:2x 2x 2x 71
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.
2x 2x 2x 2x 2x 2x 2x 3x 3x 3x 3x 5x 5x 5 = 1296000
Therefore, the value for common factors is 1296000.
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 = 15403478400000/(1x1296000)
LCM = 15403478400000/1296000
LCM = 11885400
Thus, we can understand that the LCM of 600,180,540,568,465 is 11885400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 600, 180, 540, 568, 465?
Answer: LCM of 600, 180, 540, 568, 465 is 11885400.
2. How to calculate the LCM of 600, 180, 540, 568, 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 600, 180, 540, 568, 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}.