Find the LCM of 394, 175, 297, 206, 945 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 394, 175, 297, 206, 945. So, keep reading to learn more.
Given numbers are 394,175,297,206,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,175,297,206,945 is 2109249450.
Find LCM of 394,175,297,206,945 with Prime Factorization
2 | 394, 175, 297, 206, 945 |
3 | 197, 175, 297, 103, 945 |
3 | 197, 175, 99, 103, 315 |
3 | 197, 175, 33, 103, 105 |
5 | 197, 175, 11, 103, 35 |
7 | 197, 7, 11, 103, 35 |
197, 1, 11, 103, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 197 x 1 x 11 x 103 x 5 = 2109249450
Therefore, the lowest common multiple of 394,175,297,206,945 is 2109249450.
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.
394 x 175 x 297 x 206 x 945 = 3986481460500
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.
394 : 1, 2, 197, 394
175 : 1, 5, 7, 25, 35, 175
297 : 1, 3, 9, 11, 27, 33, 99, 297
206 : 1, 2, 103, 206
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,175,297,206,945, is 1.
Now, the common factors can be found like this.
394:2x 197
175:5x 5x 7
297:3x 3x 3x 11
206:2x 103
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7 = 1890
Therefore, the value for common factors is 1890.
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 = 3986481460500/(1x1890)
LCM = 3986481460500/1890
LCM = 2109249450
Thus, we can understand that the LCM of 394,175,297,206,945 is 2109249450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 394, 175, 297, 206, 945?
Answer: LCM of 394, 175, 297, 206, 945 is 2109249450.
2. How to calculate the LCM of 394, 175, 297, 206, 945?
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 394, 175, 297, 206, 945.
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}.