Find the LCM of 521, 344, 583, 583, 403 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 521, 344, 583, 583, 403. So, keep reading to learn more.
Given numbers are 521,344,583,583,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,344,583,583,403 is 42108499576.
Find LCM of 521,344,583,583,403 with Prime Factorization
11 | 521, 344, 583, 583, 403 |
53 | 521, 344, 53, 53, 403 |
521, 344, 1, 1, 403 |
Multiply the prime numbers at the bottom and the left side.
11 x 53 x 521 x 344 x 1 x 1 x 403 = 42108499576
Therefore, the lowest common multiple of 521,344,583,583,403 is 42108499576.
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.
521 x 344 x 583 x 583 x 403 = 24549255252808
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.
521 : 1, 521
344 : 1, 2, 4, 8, 43, 86, 172, 344
583 : 1, 11, 53, 583
583 : 1, 11, 53, 583
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,344,583,583,403, is 1.
Now, the common factors can be found like this.
521:521
344:2x 2x 2x 43
583:11x 53
583:11x 53
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 53 = 583
Therefore, the value for common factors is 583.
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 = 24549255252808/(1x583)
LCM = 24549255252808/583
LCM = 42108499576
Thus, we can understand that the LCM of 521,344,583,583,403 is 42108499576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 521, 344, 583, 583, 403?
Answer: LCM of 521, 344, 583, 583, 403 is 42108499576.
2. How to calculate the LCM of 521, 344, 583, 583, 403?
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 521, 344, 583, 583, 403.
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}.