Find the LCM of 198, 538, 674, 934 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 198, 538, 674, 934. So, keep reading to learn more.
Given numbers are 198,538,674,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,538,674,934 is 8382320298.
Find LCM of 198,538,674,934 with Prime Factorization
2 | 198, 538, 674, 934 |
99, 269, 337, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 99 x 269 x 337 x 467 = 8382320298
Therefore, the lowest common multiple of 198,538,674,934 is 8382320298.
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.
198 x 538 x 674 x 934 = 67058562384
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
538 : 1, 2, 269, 538
674 : 1, 2, 337, 674
934 : 1, 2, 467, 934
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,538,674,934, is 2.
Now, the common factors can be found like this.
198:2x 3x 3x 11
538:2x 269
674:2x 337
934:2x 467
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 = 67058562384/(2x4)
LCM = 67058562384/8
LCM = 8382320298
Thus, we can understand that the LCM of 198,538,674,934 is 8382320298.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 538, 674, 934?
Answer: LCM of 198, 538, 674, 934 is 8382320298.
2. How to calculate the LCM of 198, 538, 674, 934?
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 198, 538, 674, 934.
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}.