Find the LCM of 515, 247, 575, 817, 845 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 515, 247, 575, 817, 845. So, keep reading to learn more.
Given numbers are 515,247,575,817,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,247,575,817,845 is 8177373425.
Find LCM of 515,247,575,817,845 with Prime Factorization
5 | 515, 247, 575, 817, 845 |
13 | 103, 247, 115, 817, 169 |
19 | 103, 19, 115, 817, 13 |
103, 1, 115, 43, 13 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 19 x 103 x 1 x 115 x 43 x 13 = 8177373425
Therefore, the lowest common multiple of 515,247,575,817,845 is 8177373425.
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.
515 x 247 x 575 x 817 x 845 = 50495280899375
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.
515 : 1, 5, 103, 515
247 : 1, 13, 19, 247
575 : 1, 5, 23, 25, 115, 575
817 : 1, 19, 43, 817
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,247,575,817,845, is 1.
Now, the common factors can be found like this.
515:5x 103
247:13x 19
575:5x 5x 23
817:19x 43
845:5x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 13x 19 = 6175
Therefore, the value for common factors is 6175.
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 = 50495280899375/(1x6175)
LCM = 50495280899375/6175
LCM = 8177373425
Thus, we can understand that the LCM of 515,247,575,817,845 is 8177373425.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 515, 247, 575, 817, 845?
Answer: LCM of 515, 247, 575, 817, 845 is 8177373425.
2. How to calculate the LCM of 515, 247, 575, 817, 845?
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 515, 247, 575, 817, 845.
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}.