Find the LCM of 544, 411, 462, 882 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 544, 411, 462, 882. So, keep reading to learn more.
Given numbers are 544,411,462,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,411,462,882 is 361535328.
Find LCM of 544,411,462,882 with Prime Factorization
2 | 544, 411, 462, 882 |
3 | 272, 411, 231, 441 |
7 | 272, 137, 77, 147 |
272, 137, 11, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 272 x 137 x 11 x 21 = 361535328
Therefore, the lowest common multiple of 544,411,462,882 is 361535328.
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.
544 x 411 x 462 x 882 = 91106902656
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
411 : 1, 3, 137, 411
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,411,462,882, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
411:3x 137
462:2x 3x 7x 11
882:2x 3x 3x 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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 91106902656/(1x252)
LCM = 91106902656/252
LCM = 361535328
Thus, we can understand that the LCM of 544,411,462,882 is 361535328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 544, 411, 462, 882?
Answer: LCM of 544, 411, 462, 882 is 361535328.
2. How to calculate the LCM of 544, 411, 462, 882?
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 544, 411, 462, 882.
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}.