Find the LCM of 985, 407, 808, 138, 206 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 985, 407, 808, 138, 206. So, keep reading to learn more.
Given numbers are 985,407,808,138,206
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,407,808,138,206 is 2302121898120.
Find LCM of 985,407,808,138,206 with Prime Factorization
2 | 985, 407, 808, 138, 206 |
985, 407, 404, 69, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 985 x 407 x 404 x 69 x 103 = 2302121898120
Therefore, the lowest common multiple of 985,407,808,138,206 is 2302121898120.
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.
985 x 407 x 808 x 138 x 206 = 9208487592480
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.
985 : 1, 5, 197, 985
407 : 1, 11, 37, 407
808 : 1, 2, 4, 8, 101, 202, 404, 808
138 : 1, 2, 3, 6, 23, 46, 69, 138
206 : 1, 2, 103, 206
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,407,808,138,206, is 1.
Now, the common factors can be found like this.
985:5x 197
407:11x 37
808:2x 2x 2x 101
138:2x 3x 23
206:2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 9208487592480/(1x4)
LCM = 9208487592480/4
LCM = 2302121898120
Thus, we can understand that the LCM of 985,407,808,138,206 is 2302121898120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 985, 407, 808, 138, 206?
Answer: LCM of 985, 407, 808, 138, 206 is 2302121898120.
2. How to calculate the LCM of 985, 407, 808, 138, 206?
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 985, 407, 808, 138, 206.
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}.