Find the LCM of 1986, 9524 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 1986, 9524. So, keep reading to learn more.
Given numbers are 1986,9524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1986,9524 is 9457332.
Find LCM of 1986,9524 with Prime Factorization
| 2 | 1986, 9524 |
| 993, 4762 |
Multiply the prime numbers at the bottom and the left side.
2 x 993 x 4762 = 9457332
Therefore, the lowest common multiple of 1986,9524 is 9457332.
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.
1986 x 9524 = 18914664
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.
1986 : 1, 2, 3, 6, 331, 662, 993, 1986
9524 : 1, 2, 4, 2381, 4762, 9524
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1986,9524, is 2.
Now, the common factors can be found like this.
1986:2x 3x 331
9524:2x 2x 2381
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 18914664/(2x1)
LCM = 18914664/2
LCM = 9457332
Thus, we can understand that the LCM of 1986,9524 is 9457332.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1986, 9524?
Answer: LCM of 1986, 9524 is 9457332.
2. How to calculate the LCM of 1986, 9524?
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 1986, 9524.
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}.