Find the LCM of 572, 676, 848, 418, 487 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 572, 676, 848, 418, 487. So, keep reading to learn more.
Given numbers are 572,676,848,418,487
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,676,848,418,487 is 14586725296.
Find LCM of 572,676,848,418,487 with Prime Factorization
2 | 572, 676, 848, 418, 487 |
2 | 286, 338, 424, 209, 487 |
11 | 143, 169, 212, 209, 487 |
13 | 13, 169, 212, 19, 487 |
1, 13, 212, 19, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 1 x 13 x 212 x 19 x 487 = 14586725296
Therefore, the lowest common multiple of 572,676,848,418,487 is 14586725296.
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.
572 x 676 x 848 x 418 x 487 = 66748854954496
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
418 : 1, 2, 11, 19, 22, 38, 209, 418
487 : 1, 487
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,676,848,418,487, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
676:2x 2x 13x 13
848:2x 2x 2x 2x 53
418:2x 11x 19
487:487
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 11x 13 = 4576
Therefore, the value for common factors is 4576.
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 = 66748854954496/(1x4576)
LCM = 66748854954496/4576
LCM = 14586725296
Thus, we can understand that the LCM of 572,676,848,418,487 is 14586725296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 676, 848, 418, 487?
Answer: LCM of 572, 676, 848, 418, 487 is 14586725296.
2. How to calculate the LCM of 572, 676, 848, 418, 487?
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 572, 676, 848, 418, 487.
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}.