Find the LCM of 643, 442, 286, 539, 462 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 643, 442, 286, 539, 462. So, keep reading to learn more.
Given numbers are 643,442,286,539,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,442,286,539,462 is 459561102.
Find LCM of 643,442,286,539,462 with Prime Factorization
2 | 643, 442, 286, 539, 462 |
7 | 643, 221, 143, 539, 231 |
11 | 643, 221, 143, 77, 33 |
13 | 643, 221, 13, 7, 3 |
643, 17, 1, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 13 x 643 x 17 x 1 x 7 x 3 = 459561102
Therefore, the lowest common multiple of 643,442,286,539,462 is 459561102.
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.
643 x 442 x 286 x 539 x 462 = 20240909176488
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.
643 : 1, 643
442 : 1, 2, 13, 17, 26, 34, 221, 442
286 : 1, 2, 11, 13, 22, 26, 143, 286
539 : 1, 7, 11, 49, 77, 539
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,442,286,539,462, is 1.
Now, the common factors can be found like this.
643:643
442:2x 13x 17
286:2x 11x 13
539:7x 7x 11
462:2x 3x 7x 11
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 7x 11x 11x 13 = 44044
Therefore, the value for common factors is 44044.
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 = 20240909176488/(1x44044)
LCM = 20240909176488/44044
LCM = 459561102
Thus, we can understand that the LCM of 643,442,286,539,462 is 459561102.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 643, 442, 286, 539, 462?
Answer: LCM of 643, 442, 286, 539, 462 is 459561102.
2. How to calculate the LCM of 643, 442, 286, 539, 462?
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 643, 442, 286, 539, 462.
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}.