Find the LCM of 633, 697, 603, 306, 814 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 633, 697, 603, 306, 814. So, keep reading to learn more.
Given numbers are 633,697,603,306,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,697,603,306,814 is 72186660414.
Find LCM of 633,697,603,306,814 with Prime Factorization
2 | 633, 697, 603, 306, 814 |
3 | 633, 697, 603, 153, 407 |
3 | 211, 697, 201, 51, 407 |
17 | 211, 697, 67, 17, 407 |
211, 41, 67, 1, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 211 x 41 x 67 x 1 x 407 = 72186660414
Therefore, the lowest common multiple of 633,697,603,306,814 is 72186660414.
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.
633 x 697 x 603 x 306 x 814 = 66267354260052
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.
633 : 1, 3, 211, 633
697 : 1, 17, 41, 697
603 : 1, 3, 9, 67, 201, 603
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,697,603,306,814, is 1.
Now, the common factors can be found like this.
633:3x 211
697:17x 41
603:3x 3x 67
306:2x 3x 3x 17
814:2x 11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 17 = 918
Therefore, the value for common factors is 918.
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 = 66267354260052/(1x918)
LCM = 66267354260052/918
LCM = 72186660414
Thus, we can understand that the LCM of 633,697,603,306,814 is 72186660414.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 633, 697, 603, 306, 814?
Answer: LCM of 633, 697, 603, 306, 814 is 72186660414.
2. How to calculate the LCM of 633, 697, 603, 306, 814?
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 633, 697, 603, 306, 814.
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}.