LCM of 270, 969, 816, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 969, 816, 975 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 270, 969, 816, 975. So, keep reading to learn more.
Given numbers are 270,969,816,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,969,816,975 is 45349200.
Find LCM of 270,969,816,975 with Prime Factorization
| 2 | 270, 969, 816, 975 |
| 3 | 135, 969, 408, 975 |
| 5 | 45, 323, 136, 325 |
| 17 | 9, 323, 136, 65 |
| 9, 19, 8, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 9 x 19 x 8 x 65 = 45349200
Therefore, the lowest common multiple of 270,969,816,975 is 45349200.
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.
270 x 969 x 816 x 975 = 208152828000
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
969 : 1, 3, 17, 19, 51, 57, 323, 969
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,969,816,975, is 3.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
969:3x 17x 19
816:2x 2x 2x 2x 3x 17
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 17 = 1530
Therefore, the value for common factors is 1530.
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 = 208152828000/(3x1530)
LCM = 208152828000/4590
LCM = 45349200
Thus, we can understand that the LCM of 270,969,816,975 is 45349200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 270, 969, 816, 975
1. What is the LCM of 270, 969, 816, 975?
Answer: LCM of 270, 969, 816, 975 is 45349200.
2. How to calculate the LCM of 270, 969, 816, 975?
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 270, 969, 816, 975.
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}.