Find the LCM of 808, 411, 462, 548 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 808, 411, 462, 548. So, keep reading to learn more.
Given numbers are 808,411,462,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,411,462,548 is 25570776.
Find LCM of 808,411,462,548 with Prime Factorization
2 | 808, 411, 462, 548 |
2 | 404, 411, 231, 274 |
3 | 202, 411, 231, 137 |
137 | 202, 137, 77, 137 |
202, 1, 77, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 202 x 1 x 77 x 1 = 25570776
Therefore, the lowest common multiple of 808,411,462,548 is 25570776.
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.
808 x 411 x 462 x 548 = 84076711488
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
411 : 1, 3, 137, 411
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,411,462,548, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
411:3x 137
462:2x 3x 7x 11
548:2x 2x 137
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 3x 137 = 3288
Therefore, the value for common factors is 3288.
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 = 84076711488/(1x3288)
LCM = 84076711488/3288
LCM = 25570776
Thus, we can understand that the LCM of 808,411,462,548 is 25570776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 411, 462, 548?
Answer: LCM of 808, 411, 462, 548 is 25570776.
2. How to calculate the LCM of 808, 411, 462, 548?
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 808, 411, 462, 548.
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}.