Find the LCM of 369, 205, 166, 313 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 369, 205, 166, 313. So, keep reading to learn more.
Given numbers are 369,205,166,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,205,166,313 is 95862510.
Find LCM of 369,205,166,313 with Prime Factorization
41 | 369, 205, 166, 313 |
9, 5, 166, 313 |
Multiply the prime numbers at the bottom and the left side.
41 x 9 x 5 x 166 x 313 = 95862510
Therefore, the lowest common multiple of 369,205,166,313 is 95862510.
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.
369 x 205 x 166 x 313 = 3930362910
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.
369 : 1, 3, 9, 41, 123, 369
205 : 1, 5, 41, 205
166 : 1, 2, 83, 166
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,205,166,313, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
205:5x 41
166:2x 83
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41 = 41
Therefore, the value for common factors is 41.
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 = 3930362910/(1x41)
LCM = 3930362910/41
LCM = 95862510
Thus, we can understand that the LCM of 369,205,166,313 is 95862510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 369, 205, 166, 313?
Answer: LCM of 369, 205, 166, 313 is 95862510.
2. How to calculate the LCM of 369, 205, 166, 313?
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 369, 205, 166, 313.
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}.