LCM of 217, 235, 880, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 235, 880, 385 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, 235, 880, 385. So, keep reading to learn more.
Given numbers are 217,235,880,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,235,880,385 is 8975120.
Find LCM of 217,235,880,385 with Prime Factorization
| 5 | 217, 235, 880, 385 |
| 7 | 217, 47, 176, 77 |
| 11 | 31, 47, 176, 11 |
| 31, 47, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 31 x 47 x 16 x 1 = 8975120
Therefore, the lowest common multiple of 217,235,880,385 is 8975120.
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 235 x 880 x 385 = 17277106000
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
235 : 1, 5, 47, 235
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,235,880,385, is 1.
Now, the common factors can be found like this.
217:7x 31
235:5x 47
880:2x 2x 2x 2x 5x 11
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 11 = 1925
Therefore, the value for common factors is 1925.
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 = 17277106000/(1x1925)
LCM = 17277106000/1925
LCM = 8975120
Thus, we can understand that the LCM of 217,235,880,385 is 8975120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 217, 235, 880, 385
1. What is the LCM of 217, 235, 880, 385?
Answer: LCM of 217, 235, 880, 385 is 8975120.
2. How to calculate the LCM of 217, 235, 880, 385?
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, 235, 880, 385.
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}.