Find the LCM of 199, 221, 585, 286 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 199, 221, 585, 286. So, keep reading to learn more.
Given numbers are 199,221,585,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 199,221,585,286 is 43539210.
Find LCM of 199,221,585,286 with Prime Factorization
13 | 199, 221, 585, 286 |
199, 17, 45, 22 |
Multiply the prime numbers at the bottom and the left side.
13 x 199 x 17 x 45 x 22 = 43539210
Therefore, the lowest common multiple of 199,221,585,286 is 43539210.
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.
199 x 221 x 585 x 286 = 7358126490
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.
199 : 1, 199
221 : 1, 13, 17, 221
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,221,585,286, is 1.
Now, the common factors can be found like this.
199:199
221:13x 17
585:3x 3x 5x 13
286:2x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 7358126490/(1x169)
LCM = 7358126490/169
LCM = 43539210
Thus, we can understand that the LCM of 199,221,585,286 is 43539210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 199, 221, 585, 286?
Answer: LCM of 199, 221, 585, 286 is 43539210.
2. How to calculate the LCM of 199, 221, 585, 286?
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 199, 221, 585, 286.
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}.