Find the LCM of 461, 629, 501, 323, 304 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 461, 629, 501, 323, 304. So, keep reading to learn more.
Given numbers are 461,629,501,323,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,629,501,323,304 is 44163438576.
Find LCM of 461,629,501,323,304 with Prime Factorization
17 | 461, 629, 501, 323, 304 |
19 | 461, 37, 501, 19, 304 |
461, 37, 501, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
17 x 19 x 461 x 37 x 501 x 1 x 16 = 44163438576
Therefore, the lowest common multiple of 461,629,501,323,304 is 44163438576.
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.
461 x 629 x 501 x 323 x 304 = 14264790660048
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.
461 : 1, 461
629 : 1, 17, 37, 629
501 : 1, 3, 167, 501
323 : 1, 17, 19, 323
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,629,501,323,304, is 1.
Now, the common factors can be found like this.
461:461
629:17x 37
501:3x 167
323:17x 19
304:2x 2x 2x 2x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 19 = 323
Therefore, the value for common factors is 323.
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 = 14264790660048/(1x323)
LCM = 14264790660048/323
LCM = 44163438576
Thus, we can understand that the LCM of 461,629,501,323,304 is 44163438576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 461, 629, 501, 323, 304?
Answer: LCM of 461, 629, 501, 323, 304 is 44163438576.
2. How to calculate the LCM of 461, 629, 501, 323, 304?
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 461, 629, 501, 323, 304.
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}.