Find the LCM of 563, 208, 416, 229, 518 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 563, 208, 416, 229, 518. So, keep reading to learn more.
Given numbers are 563,208,416,229,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,208,416,229,518 is 13891110688.
Find LCM of 563,208,416,229,518 with Prime Factorization
2 | 563, 208, 416, 229, 518 |
2 | 563, 104, 208, 229, 259 |
2 | 563, 52, 104, 229, 259 |
2 | 563, 26, 52, 229, 259 |
13 | 563, 13, 26, 229, 259 |
563, 1, 2, 229, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 563 x 1 x 2 x 229 x 259 = 13891110688
Therefore, the lowest common multiple of 563,208,416,229,518 is 13891110688.
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.
563 x 208 x 416 x 229 x 518 = 5778702046208
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.
563 : 1, 563
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
229 : 1, 229
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,208,416,229,518, is 1.
Now, the common factors can be found like this.
563:563
208:2x 2x 2x 2x 13
416:2x 2x 2x 2x 2x 13
229:229
518:2x 7x 37
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 13 = 416
Therefore, the value for common factors is 416.
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 = 5778702046208/(1x416)
LCM = 5778702046208/416
LCM = 13891110688
Thus, we can understand that the LCM of 563,208,416,229,518 is 13891110688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 208, 416, 229, 518?
Answer: LCM of 563, 208, 416, 229, 518 is 13891110688.
2. How to calculate the LCM of 563, 208, 416, 229, 518?
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 563, 208, 416, 229, 518.
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}.