Find the LCM of 697, 944, 408, 776 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 697, 944, 408, 776. So, keep reading to learn more.
Given numbers are 697,944,408,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,944,408,776 is 191468688.
Find LCM of 697,944,408,776 with Prime Factorization
2 | 697, 944, 408, 776 |
2 | 697, 472, 204, 388 |
2 | 697, 236, 102, 194 |
17 | 697, 118, 51, 97 |
41, 118, 3, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 41 x 118 x 3 x 97 = 191468688
Therefore, the lowest common multiple of 697,944,408,776 is 191468688.
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.
697 x 944 x 408 x 776 = 208317932544
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.
697 : 1, 17, 41, 697
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,944,408,776, is 1.
Now, the common factors can be found like this.
697:17x 41
944:2x 2x 2x 2x 59
408:2x 2x 2x 3x 17
776:2x 2x 2x 97
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 17 = 1088
Therefore, the value for common factors is 1088.
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 = 208317932544/(1x1088)
LCM = 208317932544/1088
LCM = 191468688
Thus, we can understand that the LCM of 697,944,408,776 is 191468688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 944, 408, 776?
Answer: LCM of 697, 944, 408, 776 is 191468688.
2. How to calculate the LCM of 697, 944, 408, 776?
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 697, 944, 408, 776.
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}.