Find the LCM of 335, 398, 245, 818, 343 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 335, 398, 245, 818, 343. So, keep reading to learn more.
Given numbers are 335,398,245,818,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,398,245,818,343 is 18704465710.
Find LCM of 335,398,245,818,343 with Prime Factorization
2 | 335, 398, 245, 818, 343 |
5 | 335, 199, 245, 409, 343 |
7 | 67, 199, 49, 409, 343 |
7 | 67, 199, 7, 409, 49 |
67, 199, 1, 409, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 67 x 199 x 1 x 409 x 7 = 18704465710
Therefore, the lowest common multiple of 335,398,245,818,343 is 18704465710.
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.
335 x 398 x 245 x 818 x 343 = 9165188197900
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.
335 : 1, 5, 67, 335
398 : 1, 2, 199, 398
245 : 1, 5, 7, 35, 49, 245
818 : 1, 2, 409, 818
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,398,245,818,343, is 1.
Now, the common factors can be found like this.
335:5x 67
398:2x 199
245:5x 7x 7
818:2x 409
343:7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 7 = 490
Therefore, the value for common factors is 490.
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 = 9165188197900/(1x490)
LCM = 9165188197900/490
LCM = 18704465710
Thus, we can understand that the LCM of 335,398,245,818,343 is 18704465710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 335, 398, 245, 818, 343?
Answer: LCM of 335, 398, 245, 818, 343 is 18704465710.
2. How to calculate the LCM of 335, 398, 245, 818, 343?
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 335, 398, 245, 818, 343.
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}.