Find the LCM of 538, 928, 973, 197, 784 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 538, 928, 973, 197, 784. So, keep reading to learn more.
Given numbers are 538,928,973,197,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,928,973,197,784 is 334947979744.
Find LCM of 538,928,973,197,784 with Prime Factorization
2 | 538, 928, 973, 197, 784 |
2 | 269, 464, 973, 197, 392 |
2 | 269, 232, 973, 197, 196 |
2 | 269, 116, 973, 197, 98 |
7 | 269, 58, 973, 197, 49 |
269, 58, 139, 197, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 269 x 58 x 139 x 197 x 7 = 334947979744
Therefore, the lowest common multiple of 538,928,973,197,784 is 334947979744.
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.
538 x 928 x 973 x 197 x 784 = 75028347462656
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.
538 : 1, 2, 269, 538
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
973 : 1, 7, 139, 973
197 : 1, 197
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,928,973,197,784, is 1.
Now, the common factors can be found like this.
538:2x 269
928:2x 2x 2x 2x 2x 29
973:7x 139
197:197
784:2x 2x 2x 2x 7x 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 2x 2x 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 75028347462656/(1x224)
LCM = 75028347462656/224
LCM = 334947979744
Thus, we can understand that the LCM of 538,928,973,197,784 is 334947979744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 538, 928, 973, 197, 784?
Answer: LCM of 538, 928, 973, 197, 784 is 334947979744.
2. How to calculate the LCM of 538, 928, 973, 197, 784?
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 538, 928, 973, 197, 784.
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}.