Find the LCM of 206, 377, 143, 397 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, 377, 143, 397. So, keep reading to learn more.
Given numbers are 206,377,143,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,377,143,397 is 339149954.
Find LCM of 206,377,143,397 with Prime Factorization
13 | 206, 377, 143, 397 |
206, 29, 11, 397 |
Multiply the prime numbers at the bottom and the left side.
13 x 206 x 29 x 11 x 397 = 339149954
Therefore, the lowest common multiple of 206,377,143,397 is 339149954.
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 377 x 143 x 397 = 4408949402
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
377 : 1, 13, 29, 377
143 : 1, 11, 13, 143
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,377,143,397, is 1.
Now, the common factors can be found like this.
206:2x 103
377:13x 29
143:11x 13
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 4408949402/(1x13)
LCM = 4408949402/13
LCM = 339149954
Thus, we can understand that the LCM of 206,377,143,397 is 339149954.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 206, 377, 143, 397?
Answer: LCM of 206, 377, 143, 397 is 339149954.
2. How to calculate the LCM of 206, 377, 143, 397?
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, 377, 143, 397.
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}.