Find the LCM of 514, 940, 994, 329, 411 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, 940, 994, 329, 411. So, keep reading to learn more.
Given numbers are 514,940,994,329,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,940,994,329,411 is 49346821860.
Find LCM of 514,940,994,329,411 with Prime Factorization
2 | 514, 940, 994, 329, 411 |
7 | 257, 470, 497, 329, 411 |
47 | 257, 470, 71, 47, 411 |
257, 10, 71, 1, 411 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 47 x 257 x 10 x 71 x 1 x 411 = 49346821860
Therefore, the lowest common multiple of 514,940,994,329,411 is 49346821860.
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 940 x 994 x 329 x 411 = 64940417567760
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
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
994 : 1, 2, 7, 14, 71, 142, 497, 994
329 : 1, 7, 47, 329
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,940,994,329,411, is 1.
Now, the common factors can be found like this.
514:2x 257
940:2x 2x 5x 47
994:2x 7x 71
329:7x 47
411:3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 47 = 1316
Therefore, the value for common factors is 1316.
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 = 64940417567760/(1x1316)
LCM = 64940417567760/1316
LCM = 49346821860
Thus, we can understand that the LCM of 514,940,994,329,411 is 49346821860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 940, 994, 329, 411?
Answer: LCM of 514, 940, 994, 329, 411 is 49346821860.
2. How to calculate the LCM of 514, 940, 994, 329, 411?
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, 940, 994, 329, 411.
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}.