Find the LCM of 487, 391, 533, 638, 682 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 487, 391, 533, 638, 682. So, keep reading to learn more.
Given numbers are 487,391,533,638,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,391,533,638,682 is 2007313938058.
Find LCM of 487,391,533,638,682 with Prime Factorization
2 | 487, 391, 533, 638, 682 |
11 | 487, 391, 533, 319, 341 |
487, 391, 533, 29, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 487 x 391 x 533 x 29 x 31 = 2007313938058
Therefore, the lowest common multiple of 487,391,533,638,682 is 2007313938058.
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.
487 x 391 x 533 x 638 x 682 = 44160906637276
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.
487 : 1, 487
391 : 1, 17, 23, 391
533 : 1, 13, 41, 533
638 : 1, 2, 11, 22, 29, 58, 319, 638
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,391,533,638,682, is 1.
Now, the common factors can be found like this.
487:487
391:17x 23
533:13x 41
638:2x 11x 29
682:2x 11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 44160906637276/(1x22)
LCM = 44160906637276/22
LCM = 2007313938058
Thus, we can understand that the LCM of 487,391,533,638,682 is 2007313938058.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 391, 533, 638, 682?
Answer: LCM of 487, 391, 533, 638, 682 is 2007313938058.
2. How to calculate the LCM of 487, 391, 533, 638, 682?
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 487, 391, 533, 638, 682.
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}.