Find the LCM of 240, 682, 415, 682, 156 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 240, 682, 415, 682, 156. So, keep reading to learn more.
Given numbers are 240,682,415,682,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,682,415,682,156 is 88305360.
Find LCM of 240,682,415,682,156 with Prime Factorization
2 | 240, 682, 415, 682, 156 |
2 | 120, 341, 415, 341, 78 |
3 | 60, 341, 415, 341, 39 |
5 | 20, 341, 415, 341, 13 |
11 | 4, 341, 83, 341, 13 |
31 | 4, 31, 83, 31, 13 |
4, 1, 83, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 31 x 4 x 1 x 83 x 1 x 13 = 88305360
Therefore, the lowest common multiple of 240,682,415,682,156 is 88305360.
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.
240 x 682 x 415 x 682 x 156 = 7226910662400
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
682 : 1, 2, 11, 22, 31, 62, 341, 682
415 : 1, 5, 83, 415
682 : 1, 2, 11, 22, 31, 62, 341, 682
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,682,415,682,156, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
682:2x 11x 31
415:5x 83
682:2x 11x 31
156:2x 2x 3x 13
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 2x 2x 3x 5x 11x 31 = 81840
Therefore, the value for common factors is 81840.
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 = 7226910662400/(1x81840)
LCM = 7226910662400/81840
LCM = 88305360
Thus, we can understand that the LCM of 240,682,415,682,156 is 88305360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 240, 682, 415, 682, 156?
Answer: LCM of 240, 682, 415, 682, 156 is 88305360.
2. How to calculate the LCM of 240, 682, 415, 682, 156?
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 240, 682, 415, 682, 156.
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}.