Find the LCM of 693, 623, 809, 812, 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 693, 623, 809, 812, 814. So, keep reading to learn more.
Given numbers are 693,623,809,812,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,623,809,812,814 is 214156606356.
Find LCM of 693,623,809,812,814 with Prime Factorization
2 | 693, 623, 809, 812, 814 |
7 | 693, 623, 809, 406, 407 |
11 | 99, 89, 809, 58, 407 |
9, 89, 809, 58, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 9 x 89 x 809 x 58 x 37 = 214156606356
Therefore, the lowest common multiple of 693,623,809,812,814 is 214156606356.
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.
693 x 623 x 809 x 812 x 814 = 230860821651768
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
623 : 1, 7, 89, 623
809 : 1, 809
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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 693,623,809,812,814, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
623:7x 89
809:809
812:2x 2x 7x 29
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 7x 7x 11 = 1078
Therefore, the value for common factors is 1078.
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 = 230860821651768/(1x1078)
LCM = 230860821651768/1078
LCM = 214156606356
Thus, we can understand that the LCM of 693,623,809,812,814 is 214156606356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 693, 623, 809, 812, 814?
Answer: LCM of 693, 623, 809, 812, 814 is 214156606356.
2. How to calculate the LCM of 693, 623, 809, 812, 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 693, 623, 809, 812, 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}.