LCM of 676, 411, 522, 729, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 411, 522, 729, 464 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 676, 411, 522, 729, 464. So, keep reading to learn more.
Given numbers are 676,411,522,729,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,411,522,729,464 is 7831641168.
Find LCM of 676,411,522,729,464 with Prime Factorization
| 2 | 676, 411, 522, 729, 464 |
| 2 | 338, 411, 261, 729, 232 |
| 3 | 169, 411, 261, 729, 116 |
| 3 | 169, 137, 87, 243, 116 |
| 29 | 169, 137, 29, 81, 116 |
| 169, 137, 1, 81, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 29 x 169 x 137 x 1 x 81 x 4 = 7831641168
Therefore, the lowest common multiple of 676,411,522,729,464 is 7831641168.
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.
676 x 411 x 522 x 729 x 464 = 49057400276352
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
411 : 1, 3, 137, 411
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
729 : 1, 3, 9, 27, 81, 243, 729
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,411,522,729,464, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
411:3x 137
522:2x 3x 3x 29
729:3x 3x 3x 3x 3x 3
464:2x 2x 2x 2x 29
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 2x 3x 3x 3x 29 = 6264
Therefore, the value for common factors is 6264.
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 = 49057400276352/(1x6264)
LCM = 49057400276352/6264
LCM = 7831641168
Thus, we can understand that the LCM of 676,411,522,729,464 is 7831641168.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 676, 411, 522, 729, 464
1. What is the LCM of 676, 411, 522, 729, 464?
Answer: LCM of 676, 411, 522, 729, 464 is 7831641168.
2. How to calculate the LCM of 676, 411, 522, 729, 464?
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 676, 411, 522, 729, 464.
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}.