Find the LCM of 682, 148, 707, 651 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, 148, 707, 651. So, keep reading to learn more.
Given numbers are 682,148,707,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,148,707,651 is 107042628.
Find LCM of 682,148,707,651 with Prime Factorization
2 | 682, 148, 707, 651 |
7 | 341, 74, 707, 651 |
31 | 341, 74, 101, 93 |
11, 74, 101, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 11 x 74 x 101 x 3 = 107042628
Therefore, the lowest common multiple of 682,148,707,651 is 107042628.
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 148 x 707 x 651 = 46456500552
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
148 : 1, 2, 4, 37, 74, 148
707 : 1, 7, 101, 707
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,148,707,651, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
148:2x 2x 37
707:7x 101
651:3x 7x 31
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 31 = 434
Therefore, the value for common factors is 434.
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 = 46456500552/(1x434)
LCM = 46456500552/434
LCM = 107042628
Thus, we can understand that the LCM of 682,148,707,651 is 107042628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 148, 707, 651?
Answer: LCM of 682, 148, 707, 651 is 107042628.
2. How to calculate the LCM of 682, 148, 707, 651?
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, 148, 707, 651.
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}.