Find the LCM of 9714, 4016 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 9714, 4016. So, keep reading to learn more.
Given numbers are 9714,4016
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9714,4016 is 19505712.
Find LCM of 9714,4016 with Prime Factorization
| 2 | 9714, 4016 |
| 4857, 2008 |
Multiply the prime numbers at the bottom and the left side.
2 x 4857 x 2008 = 19505712
Therefore, the lowest common multiple of 9714,4016 is 19505712.
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.
9714 x 4016 = 39011424
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.
9714 : 1, 2, 3, 6, 1619, 3238, 4857, 9714
4016 : 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9714,4016, is 2.
Now, the common factors can be found like this.
9714:2x 3x 1619
4016:2x 2x 2x 2x 251
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 = 39011424/(2x1)
LCM = 39011424/2
LCM = 19505712
Thus, we can understand that the LCM of 9714,4016 is 19505712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9714, 4016?
Answer: LCM of 9714, 4016 is 19505712.
2. How to calculate the LCM of 9714, 4016?
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 9714, 4016.
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}.