LCM of 217, 446, 416, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 446, 416, 819 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, 446, 416, 819. So, keep reading to learn more.
Given numbers are 217,446,416,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,446,416,819 is 181175904.
Find LCM of 217,446,416,819 with Prime Factorization
| 2 | 217, 446, 416, 819 |
| 7 | 217, 223, 208, 819 |
| 13 | 31, 223, 208, 117 |
| 31, 223, 16, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 31 x 223 x 16 x 9 = 181175904
Therefore, the lowest common multiple of 217,446,416,819 is 181175904.
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 446 x 416 x 819 = 32974014528
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
446 : 1, 2, 223, 446
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,446,416,819, is 1.
Now, the common factors can be found like this.
217:7x 31
446:2x 223
416:2x 2x 2x 2x 2x 13
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13 = 182
Therefore, the value for common factors is 182.
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 = 32974014528/(1x182)
LCM = 32974014528/182
LCM = 181175904
Thus, we can understand that the LCM of 217,446,416,819 is 181175904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 217, 446, 416, 819
1. What is the LCM of 217, 446, 416, 819?
Answer: LCM of 217, 446, 416, 819 is 181175904.
2. How to calculate the LCM of 217, 446, 416, 819?
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, 446, 416, 819.
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}.