Find the LCM of 208, 404, 862, 362, 333 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 208, 404, 862, 362, 333. So, keep reading to learn more.
Given numbers are 208,404,862,362,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,404,862,362,333 is 545738744304.
Find LCM of 208,404,862,362,333 with Prime Factorization
2 | 208, 404, 862, 362, 333 |
2 | 104, 202, 431, 181, 333 |
52, 101, 431, 181, 333 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 52 x 101 x 431 x 181 x 333 = 545738744304
Therefore, the lowest common multiple of 208,404,862,362,333 is 545738744304.
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.
208 x 404 x 862 x 362 x 333 = 8731819908864
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
404 : 1, 2, 4, 101, 202, 404
862 : 1, 2, 431, 862
362 : 1, 2, 181, 362
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,404,862,362,333, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
404:2x 2x 101
862:2x 431
362:2x 181
333:3x 3x 37
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 2 = 16
Therefore, the value for common factors is 16.
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 = 8731819908864/(1x16)
LCM = 8731819908864/16
LCM = 545738744304
Thus, we can understand that the LCM of 208,404,862,362,333 is 545738744304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 208, 404, 862, 362, 333?
Answer: LCM of 208, 404, 862, 362, 333 is 545738744304.
2. How to calculate the LCM of 208, 404, 862, 362, 333?
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 208, 404, 862, 362, 333.
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}.