LCM of 570, 500, 428, 216, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 500, 428, 216, 200 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 570, 500, 428, 216, 200. So, keep reading to learn more.
Given numbers are 570,500,428,216,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,500,428,216,200 is 54891000.
Find LCM of 570,500,428,216,200 with Prime Factorization
| 2 | 570, 500, 428, 216, 200 |
| 2 | 285, 250, 214, 108, 100 |
| 2 | 285, 125, 107, 54, 50 |
| 3 | 285, 125, 107, 27, 25 |
| 5 | 95, 125, 107, 9, 25 |
| 5 | 19, 5, 107, 9, 25 |
| 19, 1, 107, 9, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 19 x 1 x 107 x 9 x 5 = 54891000
Therefore, the lowest common multiple of 570,500,428,216,200 is 54891000.
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.
570 x 500 x 428 x 216 x 200 = 5269536000000
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
428 : 1, 2, 4, 107, 214, 428
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,500,428,216,200, is 2.
Now, the common factors can be found like this.
570:2x 3x 5x 19
500:2x 2x 5x 5x 5
428:2x 2x 107
216:2x 2x 2x 3x 3x 3
200:2x 2x 2x 5x 5
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 5x 5x 5 = 48000
Therefore, the value for common factors is 48000.
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 = 5269536000000/(2x48000)
LCM = 5269536000000/96000
LCM = 54891000
Thus, we can understand that the LCM of 570,500,428,216,200 is 54891000.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 570, 500, 428, 216, 200
1. What is the LCM of 570, 500, 428, 216, 200?
Answer: LCM of 570, 500, 428, 216, 200 is 54891000.
2. How to calculate the LCM of 570, 500, 428, 216, 200?
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 570, 500, 428, 216, 200.
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}.