Find the LCM of 206, 435, 174, 398, 289 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 206, 435, 174, 398, 289. So, keep reading to learn more.
Given numbers are 206,435,174,398,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,435,174,398,289 is 5153560710.
Find LCM of 206,435,174,398,289 with Prime Factorization
2 | 206, 435, 174, 398, 289 |
3 | 103, 435, 87, 199, 289 |
29 | 103, 145, 29, 199, 289 |
103, 5, 1, 199, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 103 x 5 x 1 x 199 x 289 = 5153560710
Therefore, the lowest common multiple of 206,435,174,398,289 is 5153560710.
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.
206 x 435 x 174 x 398 x 289 = 1793439127080
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.
206 : 1, 2, 103, 206
435 : 1, 3, 5, 15, 29, 87, 145, 435
174 : 1, 2, 3, 6, 29, 58, 87, 174
398 : 1, 2, 199, 398
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,435,174,398,289, is 1.
Now, the common factors can be found like this.
206:2x 103
435:3x 5x 29
174:2x 3x 29
398:2x 199
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 1793439127080/(1x348)
LCM = 1793439127080/348
LCM = 5153560710
Thus, we can understand that the LCM of 206,435,174,398,289 is 5153560710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 206, 435, 174, 398, 289?
Answer: LCM of 206, 435, 174, 398, 289 is 5153560710.
2. How to calculate the LCM of 206, 435, 174, 398, 289?
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 206, 435, 174, 398, 289.
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}.