Find the LCM of 518, 609, 527, 317, 203 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, 609, 527, 317, 203. So, keep reading to learn more.
Given numbers are 518,609,527,317,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,609,527,317,203 is 7528680894.
Find LCM of 518,609,527,317,203 with Prime Factorization
7 | 518, 609, 527, 317, 203 |
29 | 74, 87, 527, 317, 29 |
74, 3, 527, 317, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 29 x 74 x 3 x 527 x 317 x 1 = 7528680894
Therefore, the lowest common multiple of 518,609,527,317,203 is 7528680894.
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 609 x 527 x 317 x 203 = 10698255550374
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
609 : 1, 3, 7, 21, 29, 87, 203, 609
527 : 1, 17, 31, 527
317 : 1, 317
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,609,527,317,203, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
609:3x 7x 29
527:17x 31
317:317
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 29 = 1421
Therefore, the value for common factors is 1421.
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 = 10698255550374/(1x1421)
LCM = 10698255550374/1421
LCM = 7528680894
Thus, we can understand that the LCM of 518,609,527,317,203 is 7528680894.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 518, 609, 527, 317, 203?
Answer: LCM of 518, 609, 527, 317, 203 is 7528680894.
2. How to calculate the LCM of 518, 609, 527, 317, 203?
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, 609, 527, 317, 203.
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}.