Find the LCM of 682, 447, 193, 992, 742 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 682, 447, 193, 992, 742. So, keep reading to learn more.
Given numbers are 682,447,193,992,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,447,193,992,742 is 349255375392.
Find LCM of 682,447,193,992,742 with Prime Factorization
2 | 682, 447, 193, 992, 742 |
31 | 341, 447, 193, 496, 371 |
11, 447, 193, 16, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 11 x 447 x 193 x 16 x 371 = 349255375392
Therefore, the lowest common multiple of 682,447,193,992,742 is 349255375392.
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.
682 x 447 x 193 x 992 x 742 = 43307666548608
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
447 : 1, 3, 149, 447
193 : 1, 193
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,447,193,992,742, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
447:3x 149
193:193
992:2x 2x 2x 2x 2x 31
742:2x 7x 53
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 31 = 124
Therefore, the value for common factors is 124.
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 = 43307666548608/(1x124)
LCM = 43307666548608/124
LCM = 349255375392
Thus, we can understand that the LCM of 682,447,193,992,742 is 349255375392.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 447, 193, 992, 742?
Answer: LCM of 682, 447, 193, 992, 742 is 349255375392.
2. How to calculate the LCM of 682, 447, 193, 992, 742?
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 682, 447, 193, 992, 742.
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}.