Find the LCM of 351, 939, 217, 748, 935 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 351, 939, 217, 748, 935. So, keep reading to learn more.
Given numbers are 351,939,217,748,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,939,217,748,935 is 89162613540.
Find LCM of 351,939,217,748,935 with Prime Factorization
3 | 351, 939, 217, 748, 935 |
11 | 117, 313, 217, 748, 935 |
17 | 117, 313, 217, 68, 85 |
117, 313, 217, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 117 x 313 x 217 x 4 x 5 = 89162613540
Therefore, the lowest common multiple of 351,939,217,748,935 is 89162613540.
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.
351 x 939 x 217 x 748 x 935 = 50020226195940
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
939 : 1, 3, 313, 939
217 : 1, 7, 31, 217
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,939,217,748,935, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
939:3x 313
217:7x 31
748:2x 2x 11x 17
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17 = 561
Therefore, the value for common factors is 561.
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 = 50020226195940/(1x561)
LCM = 50020226195940/561
LCM = 89162613540
Thus, we can understand that the LCM of 351,939,217,748,935 is 89162613540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 351, 939, 217, 748, 935?
Answer: LCM of 351, 939, 217, 748, 935 is 89162613540.
2. How to calculate the LCM of 351, 939, 217, 748, 935?
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 351, 939, 217, 748, 935.
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}.