Find the LCM of 390, 308, 772, 715, 246 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 390, 308, 772, 715, 246. So, keep reading to learn more.
Given numbers are 390,308,772,715,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,308,772,715,246 is 475254780.
Find LCM of 390,308,772,715,246 with Prime Factorization
2 | 390, 308, 772, 715, 246 |
2 | 195, 154, 386, 715, 123 |
3 | 195, 77, 193, 715, 123 |
5 | 65, 77, 193, 715, 41 |
11 | 13, 77, 193, 143, 41 |
13 | 13, 7, 193, 13, 41 |
1, 7, 193, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 13 x 1 x 7 x 193 x 1 x 41 = 475254780
Therefore, the lowest common multiple of 390,308,772,715,246 is 475254780.
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.
390 x 308 x 772 x 715 x 246 = 16310744049600
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
772 : 1, 2, 4, 193, 386, 772
715 : 1, 5, 11, 13, 55, 65, 143, 715
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,308,772,715,246, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
308:2x 2x 7x 11
772:2x 2x 193
715:5x 11x 13
246:2x 3x 41
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 2x 2x 3x 5x 11x 13 = 34320
Therefore, the value for common factors is 34320.
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 = 16310744049600/(1x34320)
LCM = 16310744049600/34320
LCM = 475254780
Thus, we can understand that the LCM of 390,308,772,715,246 is 475254780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 390, 308, 772, 715, 246?
Answer: LCM of 390, 308, 772, 715, 246 is 475254780.
2. How to calculate the LCM of 390, 308, 772, 715, 246?
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 390, 308, 772, 715, 246.
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}.