Find the LCM of 462, 652, 794, 296, 913 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 462, 652, 794, 296, 913. So, keep reading to learn more.
Given numbers are 462,652,794,296,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,652,794,296,913 is 367248384888.
Find LCM of 462,652,794,296,913 with Prime Factorization
2 | 462, 652, 794, 296, 913 |
2 | 231, 326, 397, 148, 913 |
11 | 231, 163, 397, 74, 913 |
21, 163, 397, 74, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 21 x 163 x 397 x 74 x 83 = 367248384888
Therefore, the lowest common multiple of 462,652,794,296,913 is 367248384888.
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.
462 x 652 x 794 x 296 x 913 = 64635715740288
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
652 : 1, 2, 4, 163, 326, 652
794 : 1, 2, 397, 794
296 : 1, 2, 4, 8, 37, 74, 148, 296
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,652,794,296,913, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
652:2x 2x 163
794:2x 397
296:2x 2x 2x 37
913:11x 83
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 11 = 176
Therefore, the value for common factors is 176.
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 = 64635715740288/(1x176)
LCM = 64635715740288/176
LCM = 367248384888
Thus, we can understand that the LCM of 462,652,794,296,913 is 367248384888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 462, 652, 794, 296, 913?
Answer: LCM of 462, 652, 794, 296, 913 is 367248384888.
2. How to calculate the LCM of 462, 652, 794, 296, 913?
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 462, 652, 794, 296, 913.
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}.