LCM of 479, 806, 217, 826, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 806, 217, 826, 964 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 479, 806, 217, 826, 964. So, keep reading to learn more.
Given numbers are 479,806,217,826,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,806,217,826,964 is 76854206884.
Find LCM of 479,806,217,826,964 with Prime Factorization
| 2 | 479, 806, 217, 826, 964 |
| 7 | 479, 403, 217, 413, 482 |
| 31 | 479, 403, 31, 59, 482 |
| 479, 13, 1, 59, 482 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 479 x 13 x 1 x 59 x 482 = 76854206884
Therefore, the lowest common multiple of 479,806,217,826,964 is 76854206884.
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.
479 x 806 x 217 x 826 x 964 = 66709451575312
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.
479 : 1, 479
806 : 1, 2, 13, 26, 31, 62, 403, 806
217 : 1, 7, 31, 217
826 : 1, 2, 7, 14, 59, 118, 413, 826
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,806,217,826,964, is 1.
Now, the common factors can be found like this.
479:479
806:2x 13x 31
217:7x 31
826:2x 7x 59
964:2x 2x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 31 = 868
Therefore, the value for common factors is 868.
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 = 66709451575312/(1x868)
LCM = 66709451575312/868
LCM = 76854206884
Thus, we can understand that the LCM of 479,806,217,826,964 is 76854206884.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 479, 806, 217, 826, 964
1. What is the LCM of 479, 806, 217, 826, 964?
Answer: LCM of 479, 806, 217, 826, 964 is 76854206884.
2. How to calculate the LCM of 479, 806, 217, 826, 964?
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 479, 806, 217, 826, 964.
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}.