Find the LCM of 493, 862, 398, 208 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 493, 862, 398, 208. So, keep reading to learn more.
Given numbers are 493,862,398,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,862,398,208 is 8795096336.
Find LCM of 493,862,398,208 with Prime Factorization
2 | 493, 862, 398, 208 |
493, 431, 199, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 493 x 431 x 199 x 104 = 8795096336
Therefore, the lowest common multiple of 493,862,398,208 is 8795096336.
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.
493 x 862 x 398 x 208 = 35180385344
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.
493 : 1, 17, 29, 493
862 : 1, 2, 431, 862
398 : 1, 2, 199, 398
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,862,398,208, is 1.
Now, the common factors can be found like this.
493:17x 29
862:2x 431
398:2x 199
208:2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 35180385344/(1x4)
LCM = 35180385344/4
LCM = 8795096336
Thus, we can understand that the LCM of 493,862,398,208 is 8795096336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 862, 398, 208?
Answer: LCM of 493, 862, 398, 208 is 8795096336.
2. How to calculate the LCM of 493, 862, 398, 208?
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 493, 862, 398, 208.
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}.