Find the LCM of 302, 522, 198, 993 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 302, 522, 198, 993. So, keep reading to learn more.
Given numbers are 302,522,198,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,522,198,993 is 286990902.
Find LCM of 302,522,198,993 with Prime Factorization
2 | 302, 522, 198, 993 |
3 | 151, 261, 99, 993 |
3 | 151, 87, 33, 331 |
151, 29, 11, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 151 x 29 x 11 x 331 = 286990902
Therefore, the lowest common multiple of 302,522,198,993 is 286990902.
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.
302 x 522 x 198 x 993 = 30995017416
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.
302 : 1, 2, 151, 302
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,522,198,993, is 1.
Now, the common factors can be found like this.
302:2x 151
522:2x 3x 3x 29
198:2x 3x 3x 11
993:3x 331
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 30995017416/(1x108)
LCM = 30995017416/108
LCM = 286990902
Thus, we can understand that the LCM of 302,522,198,993 is 286990902.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 522, 198, 993?
Answer: LCM of 302, 522, 198, 993 is 286990902.
2. How to calculate the LCM of 302, 522, 198, 993?
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 302, 522, 198, 993.
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}.