Find the LCM of 285, 289, 321, 615, 943 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 285, 289, 321, 615, 943. So, keep reading to learn more.
Given numbers are 285,289,321,615,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,289,321,615,943 is 8310710865.
Find LCM of 285,289,321,615,943 with Prime Factorization
3 | 285, 289, 321, 615, 943 |
5 | 95, 289, 107, 205, 943 |
41 | 19, 289, 107, 41, 943 |
19, 289, 107, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 41 x 19 x 289 x 107 x 1 x 23 = 8310710865
Therefore, the lowest common multiple of 285,289,321,615,943 is 8310710865.
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.
285 x 289 x 321 x 615 x 943 = 15333261545925
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
289 : 1, 17, 289
321 : 1, 3, 107, 321
615 : 1, 3, 5, 15, 41, 123, 205, 615
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,289,321,615,943, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
289:17x 17
321:3x 107
615:3x 5x 41
943:23x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 41 = 1845
Therefore, the value for common factors is 1845.
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 = 15333261545925/(1x1845)
LCM = 15333261545925/1845
LCM = 8310710865
Thus, we can understand that the LCM of 285,289,321,615,943 is 8310710865.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 285, 289, 321, 615, 943?
Answer: LCM of 285, 289, 321, 615, 943 is 8310710865.
2. How to calculate the LCM of 285, 289, 321, 615, 943?
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 285, 289, 321, 615, 943.
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}.