Find the LCM of 629, 674, 682, 737 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 629, 674, 682, 737. So, keep reading to learn more.
Given numbers are 629,674,682,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,674,682,737 is 9685894262.
Find LCM of 629,674,682,737 with Prime Factorization
2 | 629, 674, 682, 737 |
11 | 629, 337, 341, 737 |
629, 337, 31, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 629 x 337 x 31 x 67 = 9685894262
Therefore, the lowest common multiple of 629,674,682,737 is 9685894262.
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.
629 x 674 x 682 x 737 = 213089673764
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.
629 : 1, 17, 37, 629
674 : 1, 2, 337, 674
682 : 1, 2, 11, 22, 31, 62, 341, 682
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,674,682,737, is 1.
Now, the common factors can be found like this.
629:17x 37
674:2x 337
682:2x 11x 31
737:11x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 213089673764/(1x22)
LCM = 213089673764/22
LCM = 9685894262
Thus, we can understand that the LCM of 629,674,682,737 is 9685894262.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 629, 674, 682, 737?
Answer: LCM of 629, 674, 682, 737 is 9685894262.
2. How to calculate the LCM of 629, 674, 682, 737?
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 629, 674, 682, 737.
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}.