Find the LCM of 784, 413, 698, 656, 224 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 784, 413, 698, 656, 224. So, keep reading to learn more.
Given numbers are 784,413,698,656,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,413,698,656,224 is 1323754208.
Find LCM of 784,413,698,656,224 with Prime Factorization
2 | 784, 413, 698, 656, 224 |
2 | 392, 413, 349, 328, 112 |
2 | 196, 413, 349, 164, 56 |
2 | 98, 413, 349, 82, 28 |
7 | 49, 413, 349, 41, 14 |
7, 59, 349, 41, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 7 x 59 x 349 x 41 x 2 = 1323754208
Therefore, the lowest common multiple of 784,413,698,656,224 is 1323754208.
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.
784 x 413 x 698 x 656 x 224 = 33210345570304
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
413 : 1, 7, 59, 413
698 : 1, 2, 349, 698
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,413,698,656,224, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
413:7x 59
698:2x 349
656:2x 2x 2x 2x 41
224:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 2x 2x 7x 7 = 25088
Therefore, the value for common factors is 25088.
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 = 33210345570304/(1x25088)
LCM = 33210345570304/25088
LCM = 1323754208
Thus, we can understand that the LCM of 784,413,698,656,224 is 1323754208.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 784, 413, 698, 656, 224?
Answer: LCM of 784, 413, 698, 656, 224 is 1323754208.
2. How to calculate the LCM of 784, 413, 698, 656, 224?
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 784, 413, 698, 656, 224.
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}.