Find the LCM of 338, 377, 163, 392 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 338, 377, 163, 392. So, keep reading to learn more.
Given numbers are 338,377,163,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,377,163,392 is 313154296.
Find LCM of 338,377,163,392 with Prime Factorization
2 | 338, 377, 163, 392 |
13 | 169, 377, 163, 196 |
13, 29, 163, 196 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 29 x 163 x 196 = 313154296
Therefore, the lowest common multiple of 338,377,163,392 is 313154296.
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.
338 x 377 x 163 x 392 = 8142011696
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.
338 : 1, 2, 13, 26, 169, 338
377 : 1, 13, 29, 377
163 : 1, 163
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,377,163,392, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
377:13x 29
163:163
392:2x 2x 2x 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 13 = 26
Therefore, the value for common factors is 26.
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 = 8142011696/(1x26)
LCM = 8142011696/26
LCM = 313154296
Thus, we can understand that the LCM of 338,377,163,392 is 313154296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 377, 163, 392?
Answer: LCM of 338, 377, 163, 392 is 313154296.
2. How to calculate the LCM of 338, 377, 163, 392?
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 338, 377, 163, 392.
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}.