Find the LCM of 198, 493, 379, 493, 335 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, 493, 379, 493, 335. So, keep reading to learn more.
Given numbers are 198,493,379,493,335
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,493,379,493,335 is 12393561510.
Find LCM of 198,493,379,493,335 with Prime Factorization
17 | 198, 493, 379, 493, 335 |
29 | 198, 29, 379, 29, 335 |
198, 1, 379, 1, 335 |
Multiply the prime numbers at the bottom and the left side.
17 x 29 x 198 x 1 x 379 x 1 x 335 = 12393561510
Therefore, the lowest common multiple of 198,493,379,493,335 is 12393561510.
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 493 x 379 x 493 x 335 = 6110025824430
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
493 : 1, 17, 29, 493
379 : 1, 379
493 : 1, 17, 29, 493
335 : 1, 5, 67, 335
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,493,379,493,335, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
493:17x 29
379:379
493:17x 29
335:5x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 29 = 493
Therefore, the value for common factors is 493.
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 = 6110025824430/(1x493)
LCM = 6110025824430/493
LCM = 12393561510
Thus, we can understand that the LCM of 198,493,379,493,335 is 12393561510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 493, 379, 493, 335?
Answer: LCM of 198, 493, 379, 493, 335 is 12393561510.
2. How to calculate the LCM of 198, 493, 379, 493, 335?
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, 493, 379, 493, 335.
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}.