Find the LCM of 197, 673, 351, 234, 401 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 197, 673, 351, 234, 401. So, keep reading to learn more.
Given numbers are 197,673,351,234,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,673,351,234,401 is 37321816662.
Find LCM of 197,673,351,234,401 with Prime Factorization
3 | 197, 673, 351, 234, 401 |
3 | 197, 673, 117, 78, 401 |
13 | 197, 673, 39, 26, 401 |
197, 673, 3, 2, 401 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 197 x 673 x 3 x 2 x 401 = 37321816662
Therefore, the lowest common multiple of 197,673,351,234,401 is 37321816662.
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.
197 x 673 x 351 x 234 x 401 = 4366652549454
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.
197 : 1, 197
673 : 1, 673
351 : 1, 3, 9, 13, 27, 39, 117, 351
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,673,351,234,401, is 1.
Now, the common factors can be found like this.
197:197
673:673
351:3x 3x 3x 13
234:2x 3x 3x 13
401:401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 4366652549454/(1x117)
LCM = 4366652549454/117
LCM = 37321816662
Thus, we can understand that the LCM of 197,673,351,234,401 is 37321816662.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 197, 673, 351, 234, 401?
Answer: LCM of 197, 673, 351, 234, 401 is 37321816662.
2. How to calculate the LCM of 197, 673, 351, 234, 401?
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 197, 673, 351, 234, 401.
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}.