Find the LCM of 785, 985, 394, 960 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 785, 985, 394, 960. So, keep reading to learn more.
Given numbers are 785,985,394,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,985,394,960 is 29691840.
Find LCM of 785,985,394,960 with Prime Factorization
2 | 785, 985, 394, 960 |
5 | 785, 985, 197, 480 |
197 | 157, 197, 197, 96 |
157, 1, 1, 96 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 197 x 157 x 1 x 1 x 96 = 29691840
Therefore, the lowest common multiple of 785,985,394,960 is 29691840.
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.
785 x 985 x 394 x 960 = 292464624000
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.
785 : 1, 5, 157, 785
985 : 1, 5, 197, 985
394 : 1, 2, 197, 394
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,985,394,960, is 1.
Now, the common factors can be found like this.
785:5x 157
985:5x 197
394:2x 197
960:2x 2x 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 5x 5x 197 = 9850
Therefore, the value for common factors is 9850.
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 = 292464624000/(1x9850)
LCM = 292464624000/9850
LCM = 29691840
Thus, we can understand that the LCM of 785,985,394,960 is 29691840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 985, 394, 960?
Answer: LCM of 785, 985, 394, 960 is 29691840.
2. How to calculate the LCM of 785, 985, 394, 960?
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 785, 985, 394, 960.
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}.