Find the LCM of 608, 247, 104, 862 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 608, 247, 104, 862. So, keep reading to learn more.
Given numbers are 608,247,104,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,247,104,862 is 3406624.
Find LCM of 608,247,104,862 with Prime Factorization
2 | 608, 247, 104, 862 |
2 | 304, 247, 52, 431 |
2 | 152, 247, 26, 431 |
13 | 76, 247, 13, 431 |
19 | 76, 19, 1, 431 |
4, 1, 1, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 19 x 4 x 1 x 1 x 431 = 3406624
Therefore, the lowest common multiple of 608,247,104,862 is 3406624.
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.
608 x 247 x 104 x 862 = 13462978048
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
247 : 1, 13, 19, 247
104 : 1, 2, 4, 8, 13, 26, 52, 104
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,247,104,862, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
247:13x 19
104:2x 2x 2x 13
862:2x 431
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 13x 19 = 3952
Therefore, the value for common factors is 3952.
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 = 13462978048/(1x3952)
LCM = 13462978048/3952
LCM = 3406624
Thus, we can understand that the LCM of 608,247,104,862 is 3406624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 608, 247, 104, 862?
Answer: LCM of 608, 247, 104, 862 is 3406624.
2. How to calculate the LCM of 608, 247, 104, 862?
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 608, 247, 104, 862.
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}.