LCM of 676, 721, 396, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 721, 396, 286 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, 721, 396, 286. So, keep reading to learn more.
Given numbers are 676,721,396,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,721,396,286 is 48252204.
Find LCM of 676,721,396,286 with Prime Factorization
| 2 | 676, 721, 396, 286 |
| 2 | 338, 721, 198, 143 |
| 11 | 169, 721, 99, 143 |
| 13 | 169, 721, 9, 13 |
| 1, 721, 9, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 1 x 721 x 9 x 13 = 48252204
Therefore, the lowest common multiple of 676,721,396,286 is 48252204.
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 721 x 396 x 286 = 55200521376
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
721 : 1, 7, 103, 721
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,721,396,286, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
721:7x 103
396:2x 2x 3x 3x 11
286:2x 11x 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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 55200521376/(1x1144)
LCM = 55200521376/1144
LCM = 48252204
Thus, we can understand that the LCM of 676,721,396,286 is 48252204.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 721, 396, 286
1. What is the LCM of 676, 721, 396, 286?
Answer: LCM of 676, 721, 396, 286 is 48252204.
2. How to calculate the LCM of 676, 721, 396, 286?
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, 721, 396, 286.
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}.