Find the LCM of 363, 726, 986, 658 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 363, 726, 986, 658. So, keep reading to learn more.
Given numbers are 363,726,986,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,726,986,658 is 117755022.
Find LCM of 363,726,986,658 with Prime Factorization
2 | 363, 726, 986, 658 |
3 | 363, 363, 493, 329 |
11 | 121, 121, 493, 329 |
11 | 11, 11, 493, 329 |
1, 1, 493, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 1 x 1 x 493 x 329 = 117755022
Therefore, the lowest common multiple of 363,726,986,658 is 117755022.
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.
363 x 726 x 986 x 658 = 170980291944
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.
363 : 1, 3, 11, 33, 121, 363
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
986 : 1, 2, 17, 29, 34, 58, 493, 986
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,726,986,658, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
726:2x 3x 11x 11
986:2x 17x 29
658:2x 7x 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 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 170980291944/(1x1452)
LCM = 170980291944/1452
LCM = 117755022
Thus, we can understand that the LCM of 363,726,986,658 is 117755022.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 726, 986, 658?
Answer: LCM of 363, 726, 986, 658 is 117755022.
2. How to calculate the LCM of 363, 726, 986, 658?
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 363, 726, 986, 658.
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}.