Find the LCM of 682, 963, 143, 596, 240 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, 963, 143, 596, 240. So, keep reading to learn more.
Given numbers are 682,963,143,596,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,963,143,596,240 is 50886229680.
Find LCM of 682,963,143,596,240 with Prime Factorization
2 | 682, 963, 143, 596, 240 |
2 | 341, 963, 143, 298, 120 |
3 | 341, 963, 143, 149, 60 |
11 | 341, 321, 143, 149, 20 |
31, 321, 13, 149, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 31 x 321 x 13 x 149 x 20 = 50886229680
Therefore, the lowest common multiple of 682,963,143,596,240 is 50886229680.
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 963 x 143 x 596 x 240 = 13433964635520
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
963 : 1, 3, 9, 107, 321, 963
143 : 1, 11, 13, 143
596 : 1, 2, 4, 149, 298, 596
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,963,143,596,240, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
963:3x 3x 107
143:11x 13
596:2x 2x 149
240:2x 2x 2x 2x 3x 5
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 13433964635520/(1x264)
LCM = 13433964635520/264
LCM = 50886229680
Thus, we can understand that the LCM of 682,963,143,596,240 is 50886229680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 963, 143, 596, 240?
Answer: LCM of 682, 963, 143, 596, 240 is 50886229680.
2. How to calculate the LCM of 682, 963, 143, 596, 240?
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, 963, 143, 596, 240.
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}.