LCM of 9670, 2160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9670, 2160 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 9670, 2160. So, keep reading to learn more.
Given numbers are 9670,2160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9670,2160 is 2088720.
Find LCM of 9670,2160 with Prime Factorization
| 2 | 9670, 2160 |
| 5 | 4835, 1080 |
| 967, 216 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 967 x 216 = 2088720
Therefore, the lowest common multiple of 9670,2160 is 2088720.
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.
9670 x 2160 = 20887200
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.
9670 : 1, 2, 5, 10, 967, 1934, 4835, 9670
2160 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9670,2160, is 10.
Now, the common factors can be found like this.
9670:2x 5x 967
2160:2x 2x 2x 2x 3x 3x 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.
= 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 = 20887200/(10x1)
LCM = 20887200/10
LCM = 2088720
Thus, we can understand that the LCM of 9670,2160 is 2088720.
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FAQs on LCM of 9670, 2160
1. What is the LCM of 9670, 2160?
Answer: LCM of 9670, 2160 is 2088720.
2. How to calculate the LCM of 9670, 2160?
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 9670, 2160.
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}.