Find the LCM of 778, 791, 308, 874, 414 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 778, 791, 308, 874, 414. So, keep reading to learn more.
Given numbers are 778,791,308,874,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,791,308,874,414 is 53247927348.
Find LCM of 778,791,308,874,414 with Prime Factorization
2 | 778, 791, 308, 874, 414 |
7 | 389, 791, 154, 437, 207 |
23 | 389, 113, 22, 437, 207 |
389, 113, 22, 19, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 389 x 113 x 22 x 19 x 9 = 53247927348
Therefore, the lowest common multiple of 778,791,308,874,414 is 53247927348.
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.
778 x 791 x 308 x 874 x 414 = 68583330424224
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.
778 : 1, 2, 389, 778
791 : 1, 7, 113, 791
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
874 : 1, 2, 19, 23, 38, 46, 437, 874
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,791,308,874,414, is 1.
Now, the common factors can be found like this.
778:2x 389
791:7x 113
308:2x 2x 7x 11
874:2x 19x 23
414:2x 3x 3x 23
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 7x 23 = 1288
Therefore, the value for common factors is 1288.
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 = 68583330424224/(1x1288)
LCM = 68583330424224/1288
LCM = 53247927348
Thus, we can understand that the LCM of 778,791,308,874,414 is 53247927348.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 778, 791, 308, 874, 414?
Answer: LCM of 778, 791, 308, 874, 414 is 53247927348.
2. How to calculate the LCM of 778, 791, 308, 874, 414?
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 778, 791, 308, 874, 414.
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}.