LCM of 217, 589, 105, 560, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 589, 105, 560, 435 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 217, 589, 105, 560, 435. So, keep reading to learn more.
Given numbers are 217,589,105,560,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,589,105,560,435 is 28696080.
Find LCM of 217,589,105,560,435 with Prime Factorization
| 3 | 217, 589, 105, 560, 435 |
| 5 | 217, 589, 35, 560, 145 |
| 7 | 217, 589, 7, 112, 29 |
| 31 | 31, 589, 1, 16, 29 |
| 1, 19, 1, 16, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 31 x 1 x 19 x 1 x 16 x 29 = 28696080
Therefore, the lowest common multiple of 217,589,105,560,435 is 28696080.
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.
217 x 589 x 105 x 560 x 435 = 3269200914000
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.
217 : 1, 7, 31, 217
589 : 1, 19, 31, 589
105 : 1, 3, 5, 7, 15, 21, 35, 105
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,589,105,560,435, is 1.
Now, the common factors can be found like this.
217:7x 31
589:19x 31
105:3x 5x 7
560:2x 2x 2x 2x 5x 7
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 7x 7x 31 = 113925
Therefore, the value for common factors is 113925.
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 = 3269200914000/(1x113925)
LCM = 3269200914000/113925
LCM = 28696080
Thus, we can understand that the LCM of 217,589,105,560,435 is 28696080.
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FAQs on LCM of 217, 589, 105, 560, 435
1. What is the LCM of 217, 589, 105, 560, 435?
Answer: LCM of 217, 589, 105, 560, 435 is 28696080.
2. How to calculate the LCM of 217, 589, 105, 560, 435?
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 217, 589, 105, 560, 435.
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}.