LCM of 217, 580, 917, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 580, 917, 203 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, 580, 917, 203. So, keep reading to learn more.
Given numbers are 217,580,917,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,580,917,203 is 16487660.
Find LCM of 217,580,917,203 with Prime Factorization
| 7 | 217, 580, 917, 203 |
| 29 | 31, 580, 131, 29 |
| 31, 20, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 29 x 31 x 20 x 131 x 1 = 16487660
Therefore, the lowest common multiple of 217,580,917,203 is 16487660.
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 580 x 917 x 203 = 23428964860
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
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
917 : 1, 7, 131, 917
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,580,917,203, is 1.
Now, the common factors can be found like this.
217:7x 31
580:2x 2x 5x 29
917:7x 131
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 29 = 1421
Therefore, the value for common factors is 1421.
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 = 23428964860/(1x1421)
LCM = 23428964860/1421
LCM = 16487660
Thus, we can understand that the LCM of 217,580,917,203 is 16487660.
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FAQs on LCM of 217, 580, 917, 203
1. What is the LCM of 217, 580, 917, 203?
Answer: LCM of 217, 580, 917, 203 is 16487660.
2. How to calculate the LCM of 217, 580, 917, 203?
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, 580, 917, 203.
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}.