LCM of 203, 505, 817, 560, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 505, 817, 560, 317 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 203, 505, 817, 560, 317. So, keep reading to learn more.
Given numbers are 203,505,817,560,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,505,817,560,317 is 424804117360.
Find LCM of 203,505,817,560,317 with Prime Factorization
| 5 | 203, 505, 817, 560, 317 |
| 7 | 203, 101, 817, 112, 317 |
| 29, 101, 817, 16, 317 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 29 x 101 x 817 x 16 x 317 = 424804117360
Therefore, the lowest common multiple of 203,505,817,560,317 is 424804117360.
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.
203 x 505 x 817 x 560 x 317 = 14868144107600
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.
203 : 1, 7, 29, 203
505 : 1, 5, 101, 505
817 : 1, 19, 43, 817
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,505,817,560,317, is 1.
Now, the common factors can be found like this.
203:7x 29
505:5x 101
817:19x 43
560:2x 2x 2x 2x 5x 7
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 14868144107600/(1x35)
LCM = 14868144107600/35
LCM = 424804117360
Thus, we can understand that the LCM of 203,505,817,560,317 is 424804117360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 203, 505, 817, 560, 317
1. What is the LCM of 203, 505, 817, 560, 317?
Answer: LCM of 203, 505, 817, 560, 317 is 424804117360.
2. How to calculate the LCM of 203, 505, 817, 560, 317?
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 203, 505, 817, 560, 317.
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}.