LCM of 569, 568, 720, 217, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 569, 568, 720, 217, 427 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 569, 568, 720, 217, 427. So, keep reading to learn more.
Given numbers are 569,568,720,217,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,568,720,217,427 is 385028325360.
Find LCM of 569,568,720,217,427 with Prime Factorization
| 2 | 569, 568, 720, 217, 427 |
| 2 | 569, 284, 360, 217, 427 |
| 2 | 569, 142, 180, 217, 427 |
| 7 | 569, 71, 90, 217, 427 |
| 569, 71, 90, 31, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 569 x 71 x 90 x 31 x 61 = 385028325360
Therefore, the lowest common multiple of 569,568,720,217,427 is 385028325360.
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.
569 x 568 x 720 x 217 x 427 = 21561586220160
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.
569 : 1, 569
568 : 1, 2, 4, 8, 71, 142, 284, 568
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
217 : 1, 7, 31, 217
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,568,720,217,427, is 1.
Now, the common factors can be found like this.
569:569
568:2x 2x 2x 71
720:2x 2x 2x 2x 3x 3x 5
217:7x 31
427:7x 61
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 7 = 56
Therefore, the value for common factors is 56.
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 = 21561586220160/(1x56)
LCM = 21561586220160/56
LCM = 385028325360
Thus, we can understand that the LCM of 569,568,720,217,427 is 385028325360.
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FAQs on LCM of 569, 568, 720, 217, 427
1. What is the LCM of 569, 568, 720, 217, 427?
Answer: LCM of 569, 568, 720, 217, 427 is 385028325360.
2. How to calculate the LCM of 569, 568, 720, 217, 427?
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 569, 568, 720, 217, 427.
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}.