Find the LCM of 388, 484, 973, 776, 521 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 388, 484, 973, 776, 521. So, keep reading to learn more.
Given numbers are 388,484,973,776,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,484,973,776,521 is 47598980968.
Find LCM of 388,484,973,776,521 with Prime Factorization
2 | 388, 484, 973, 776, 521 |
2 | 194, 242, 973, 388, 521 |
97 | 97, 121, 973, 194, 521 |
1, 121, 973, 2, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 97 x 1 x 121 x 973 x 2 x 521 = 47598980968
Therefore, the lowest common multiple of 388,484,973,776,521 is 47598980968.
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.
388 x 484 x 973 x 776 x 521 = 73873618462336
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.
388 : 1, 2, 4, 97, 194, 388
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
973 : 1, 7, 139, 973
776 : 1, 2, 4, 8, 97, 194, 388, 776
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,484,973,776,521, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
484:2x 2x 11x 11
973:7x 139
776:2x 2x 2x 97
521:521
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 97 = 1552
Therefore, the value for common factors is 1552.
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 = 73873618462336/(1x1552)
LCM = 73873618462336/1552
LCM = 47598980968
Thus, we can understand that the LCM of 388,484,973,776,521 is 47598980968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 388, 484, 973, 776, 521?
Answer: LCM of 388, 484, 973, 776, 521 is 47598980968.
2. How to calculate the LCM of 388, 484, 973, 776, 521?
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 388, 484, 973, 776, 521.
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}.