Find the LCM of 105, 195, 143, 250, 935 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 105, 195, 143, 250, 935. So, keep reading to learn more.
Given numbers are 105,195,143,250,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,195,143,250,935 is 12762750.
Find LCM of 105,195,143,250,935 with Prime Factorization
3 | 105, 195, 143, 250, 935 |
5 | 35, 65, 143, 250, 935 |
11 | 7, 13, 143, 50, 187 |
13 | 7, 13, 13, 50, 17 |
7, 1, 1, 50, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 13 x 7 x 1 x 1 x 50 x 17 = 12762750
Therefore, the lowest common multiple of 105,195,143,250,935 is 12762750.
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.
105 x 195 x 143 x 250 x 935 = 684402468750
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
195 : 1, 3, 5, 13, 15, 39, 65, 195
143 : 1, 11, 13, 143
250 : 1, 2, 5, 10, 25, 50, 125, 250
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,195,143,250,935, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
195:3x 5x 13
143:11x 13
250:2x 5x 5x 5
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 11x 13 = 53625
Therefore, the value for common factors is 53625.
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 = 684402468750/(1x53625)
LCM = 684402468750/53625
LCM = 12762750
Thus, we can understand that the LCM of 105,195,143,250,935 is 12762750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 195, 143, 250, 935?
Answer: LCM of 105, 195, 143, 250, 935 is 12762750.
2. How to calculate the LCM of 105, 195, 143, 250, 935?
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 105, 195, 143, 250, 935.
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}.