Find the LCM of 793, 586, 772, 456, 697 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 793, 586, 772, 456, 697. So, keep reading to learn more.
Given numbers are 793,586,772,456,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,586,772,456,697 is 14252653842024.
Find LCM of 793,586,772,456,697 with Prime Factorization
2 | 793, 586, 772, 456, 697 |
2 | 793, 293, 386, 228, 697 |
793, 293, 193, 114, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 793 x 293 x 193 x 114 x 697 = 14252653842024
Therefore, the lowest common multiple of 793,586,772,456,697 is 14252653842024.
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.
793 x 586 x 772 x 456 x 697 = 114021230736192
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.
793 : 1, 13, 61, 793
586 : 1, 2, 293, 586
772 : 1, 2, 4, 193, 386, 772
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,586,772,456,697, is 1.
Now, the common factors can be found like this.
793:13x 61
586:2x 293
772:2x 2x 193
456:2x 2x 2x 3x 19
697:17x 41
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 2 = 8
Therefore, the value for common factors is 8.
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 = 114021230736192/(1x8)
LCM = 114021230736192/8
LCM = 14252653842024
Thus, we can understand that the LCM of 793,586,772,456,697 is 14252653842024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 586, 772, 456, 697?
Answer: LCM of 793, 586, 772, 456, 697 is 14252653842024.
2. How to calculate the LCM of 793, 586, 772, 456, 697?
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 793, 586, 772, 456, 697.
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}.