LCM of 286, 484, 976, 676, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 484, 976, 676, 676 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 286, 484, 976, 676, 676. So, keep reading to learn more.
Given numbers are 286,484,976,676,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,484,976,676,676 is 19958224.
Find LCM of 286,484,976,676,676 with Prime Factorization
| 2 | 286, 484, 976, 676, 676 |
| 2 | 143, 242, 488, 338, 338 |
| 11 | 143, 121, 244, 169, 169 |
| 13 | 13, 11, 244, 169, 169 |
| 13 | 1, 11, 244, 13, 13 |
| 1, 11, 244, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 13 x 1 x 11 x 244 x 1 x 1 = 19958224
Therefore, the lowest common multiple of 286,484,976,676,676 is 19958224.
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.
286 x 484 x 976 x 676 x 676 = 61738291124224
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,484,976,676,676, is 2.
Now, the common factors can be found like this.
286:2x 11x 13
484:2x 2x 11x 11
976:2x 2x 2x 2x 61
676:2x 2x 13x 13
676:2x 2x 13x 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 2x 2x 2x 2x 2x 11x 13x 13x 13 = 1546688
Therefore, the value for common factors is 1546688.
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 = 61738291124224/(2x1546688)
LCM = 61738291124224/3093376
LCM = 19958224
Thus, we can understand that the LCM of 286,484,976,676,676 is 19958224.
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FAQs on LCM of 286, 484, 976, 676, 676
1. What is the LCM of 286, 484, 976, 676, 676?
Answer: LCM of 286, 484, 976, 676, 676 is 19958224.
2. How to calculate the LCM of 286, 484, 976, 676, 676?
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 286, 484, 976, 676, 676.
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}.