Find the LCM of 612, 531, 317, 374, 413 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 612, 531, 317, 374, 413. So, keep reading to learn more.
Given numbers are 612,531,317,374,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,531,317,374,413 is 881360172.
Find LCM of 612,531,317,374,413 with Prime Factorization
2 | 612, 531, 317, 374, 413 |
3 | 306, 531, 317, 187, 413 |
3 | 102, 177, 317, 187, 413 |
17 | 34, 59, 317, 187, 413 |
59 | 2, 59, 317, 11, 413 |
2, 1, 317, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 59 x 2 x 1 x 317 x 11 x 7 = 881360172
Therefore, the lowest common multiple of 612,531,317,374,413 is 881360172.
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.
612 x 531 x 317 x 374 x 413 = 15912076545288
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
531 : 1, 3, 9, 59, 177, 531
317 : 1, 317
374 : 1, 2, 11, 17, 22, 34, 187, 374
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,531,317,374,413, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
531:3x 3x 59
317:317
374:2x 11x 17
413:7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 59 = 18054
Therefore, the value for common factors is 18054.
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 = 15912076545288/(1x18054)
LCM = 15912076545288/18054
LCM = 881360172
Thus, we can understand that the LCM of 612,531,317,374,413 is 881360172.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 612, 531, 317, 374, 413?
Answer: LCM of 612, 531, 317, 374, 413 is 881360172.
2. How to calculate the LCM of 612, 531, 317, 374, 413?
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 612, 531, 317, 374, 413.
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}.