Find the LCM of 514, 363, 341 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 514, 363, 341. So, keep reading to learn more.
Given numbers are 514,363,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,363,341 is 5784042.
Find LCM of 514,363,341 with Prime Factorization
11 | 514, 363, 341 |
514, 33, 31 |
Multiply the prime numbers at the bottom and the left side.
11 x 514 x 33 x 31 = 5784042
Therefore, the lowest common multiple of 514,363,341 is 5784042.
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.
514 x 363 x 341 = 63624462
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.
514 : 1, 2, 257, 514
363 : 1, 3, 11, 33, 121, 363
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,363,341, is 1.
Now, the common factors can be found like this.
514:2x 257
363:3x 11x 11
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 63624462/(1x11)
LCM = 63624462/11
LCM = 5784042
Thus, we can understand that the LCM of 514,363,341 is 5784042.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 363, 341?
Answer: LCM of 514, 363, 341 is 5784042.
2. How to calculate the LCM of 514, 363, 341?
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 514, 363, 341.
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}.