Find the LCM of 518, 170, 360, 440, 517 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 518, 170, 360, 440, 517. So, keep reading to learn more.
Given numbers are 518,170,360,440,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,170,360,440,517 is 819486360.
Find LCM of 518,170,360,440,517 with Prime Factorization
2 | 518, 170, 360, 440, 517 |
2 | 259, 85, 180, 220, 517 |
2 | 259, 85, 90, 110, 517 |
5 | 259, 85, 45, 55, 517 |
11 | 259, 17, 9, 11, 517 |
259, 17, 9, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 259 x 17 x 9 x 1 x 47 = 819486360
Therefore, the lowest common multiple of 518,170,360,440,517 is 819486360.
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.
518 x 170 x 360 x 440 x 517 = 7211479968000
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
170 : 1, 2, 5, 10, 17, 34, 85, 170
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,170,360,440,517, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
170:2x 5x 17
360:2x 2x 2x 3x 3x 5
440:2x 2x 2x 5x 11
517:11x 47
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 5x 5x 11 = 8800
Therefore, the value for common factors is 8800.
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 = 7211479968000/(1x8800)
LCM = 7211479968000/8800
LCM = 819486360
Thus, we can understand that the LCM of 518,170,360,440,517 is 819486360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 518, 170, 360, 440, 517?
Answer: LCM of 518, 170, 360, 440, 517 is 819486360.
2. How to calculate the LCM of 518, 170, 360, 440, 517?
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 518, 170, 360, 440, 517.
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}.