Find the LCM of 964, 128, 488, 202, 606 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 964, 128, 488, 202, 606. So, keep reading to learn more.
Given numbers are 964,128,488,202,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,128,488,202,606 is 570163584.
Find LCM of 964,128,488,202,606 with Prime Factorization
2 | 964, 128, 488, 202, 606 |
2 | 482, 64, 244, 101, 303 |
2 | 241, 32, 122, 101, 303 |
101 | 241, 16, 61, 101, 303 |
241, 16, 61, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 241 x 16 x 61 x 1 x 3 = 570163584
Therefore, the lowest common multiple of 964,128,488,202,606 is 570163584.
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.
964 x 128 x 488 x 202 x 606 = 7371074813952
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.
964 : 1, 2, 4, 241, 482, 964
128 : 1, 2, 4, 8, 16, 32, 64, 128
488 : 1, 2, 4, 8, 61, 122, 244, 488
202 : 1, 2, 101, 202
606 : 1, 2, 3, 6, 101, 202, 303, 606
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,128,488,202,606, is 2.
Now, the common factors can be found like this.
964:2x 2x 241
128:2x 2x 2x 2x 2x 2x 2
488:2x 2x 2x 61
202:2x 101
606:2x 3x 101
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 2x 101 = 6464
Therefore, the value for common factors is 6464.
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 = 7371074813952/(2x6464)
LCM = 7371074813952/12928
LCM = 570163584
Thus, we can understand that the LCM of 964,128,488,202,606 is 570163584.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 128, 488, 202, 606?
Answer: LCM of 964, 128, 488, 202, 606 is 570163584.
2. How to calculate the LCM of 964, 128, 488, 202, 606?
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 964, 128, 488, 202, 606.
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}.