Find the LCM of 682, 237, 243, 198, 752 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, 237, 243, 198, 752. So, keep reading to learn more.
Given numbers are 682,237,243,198,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,237,243,198,752 is 4922725104.
Find LCM of 682,237,243,198,752 with Prime Factorization
2 | 682, 237, 243, 198, 752 |
3 | 341, 237, 243, 99, 376 |
3 | 341, 79, 81, 33, 376 |
11 | 341, 79, 27, 11, 376 |
31, 79, 27, 1, 376 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 31 x 79 x 27 x 1 x 376 = 4922725104
Therefore, the lowest common multiple of 682,237,243,198,752 is 4922725104.
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 237 x 243 x 198 x 752 = 5848197423552
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
237 : 1, 3, 79, 237
243 : 1, 3, 9, 27, 81, 243
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,237,243,198,752, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
237:3x 79
243:3x 3x 3x 3x 3
198:2x 3x 3x 11
752:2x 2x 2x 2x 47
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 3x 3x 3x 11 = 1188
Therefore, the value for common factors is 1188.
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 = 5848197423552/(1x1188)
LCM = 5848197423552/1188
LCM = 4922725104
Thus, we can understand that the LCM of 682,237,243,198,752 is 4922725104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 237, 243, 198, 752?
Answer: LCM of 682, 237, 243, 198, 752 is 4922725104.
2. How to calculate the LCM of 682, 237, 243, 198, 752?
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, 237, 243, 198, 752.
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}.