Find the LCM of 939, 414, 224, 416, 614 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 939, 414, 224, 416, 614. So, keep reading to learn more.
Given numbers are 939,414,224,416,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,414,224,416,614 is 57922117344.
Find LCM of 939,414,224,416,614 with Prime Factorization
2 | 939, 414, 224, 416, 614 |
2 | 939, 207, 112, 208, 307 |
2 | 939, 207, 56, 104, 307 |
2 | 939, 207, 28, 52, 307 |
2 | 939, 207, 14, 26, 307 |
3 | 939, 207, 7, 13, 307 |
313, 69, 7, 13, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 313 x 69 x 7 x 13 x 307 = 57922117344
Therefore, the lowest common multiple of 939,414,224,416,614 is 57922117344.
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.
939 x 414 x 224 x 416 x 614 = 22242093060096
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.
939 : 1, 3, 313, 939
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,414,224,416,614, is 1.
Now, the common factors can be found like this.
939:3x 313
414:2x 3x 3x 23
224:2x 2x 2x 2x 2x 7
416:2x 2x 2x 2x 2x 13
614:2x 307
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 2x 2x 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 22242093060096/(1x384)
LCM = 22242093060096/384
LCM = 57922117344
Thus, we can understand that the LCM of 939,414,224,416,614 is 57922117344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 939, 414, 224, 416, 614?
Answer: LCM of 939, 414, 224, 416, 614 is 57922117344.
2. How to calculate the LCM of 939, 414, 224, 416, 614?
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 939, 414, 224, 416, 614.
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}.