Find the LCM of 439, 424, 616, 848, 461 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 439, 424, 616, 848, 461. So, keep reading to learn more.
Given numbers are 439,424,616,848,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,424,616,848,461 is 13214539184.
Find LCM of 439,424,616,848,461 with Prime Factorization
2 | 439, 424, 616, 848, 461 |
2 | 439, 212, 308, 424, 461 |
2 | 439, 106, 154, 212, 461 |
53 | 439, 53, 77, 106, 461 |
439, 1, 77, 2, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 53 x 439 x 1 x 77 x 2 x 461 = 13214539184
Therefore, the lowest common multiple of 439,424,616,848,461 is 13214539184.
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.
439 x 424 x 616 x 848 x 461 = 44823716912128
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.
439 : 1, 439
424 : 1, 2, 4, 8, 53, 106, 212, 424
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,424,616,848,461, is 1.
Now, the common factors can be found like this.
439:439
424:2x 2x 2x 53
616:2x 2x 2x 7x 11
848:2x 2x 2x 2x 53
461:461
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 53 = 3392
Therefore, the value for common factors is 3392.
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 = 44823716912128/(1x3392)
LCM = 44823716912128/3392
LCM = 13214539184
Thus, we can understand that the LCM of 439,424,616,848,461 is 13214539184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 439, 424, 616, 848, 461?
Answer: LCM of 439, 424, 616, 848, 461 is 13214539184.
2. How to calculate the LCM of 439, 424, 616, 848, 461?
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 439, 424, 616, 848, 461.
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}.