LCM of 824, 960, 230, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 960, 230, 305 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 824, 960, 230, 305. So, keep reading to learn more.
Given numbers are 824,960,230,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,960,230,305 is 138728640.
Find LCM of 824,960,230,305 with Prime Factorization
| 2 | 824, 960, 230, 305 |
| 2 | 412, 480, 115, 305 |
| 2 | 206, 240, 115, 305 |
| 5 | 103, 120, 115, 305 |
| 103, 24, 23, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 103 x 24 x 23 x 61 = 138728640
Therefore, the lowest common multiple of 824,960,230,305 is 138728640.
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.
824 x 960 x 230 x 305 = 55491456000
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
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
230 : 1, 2, 5, 10, 23, 46, 115, 230
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,960,230,305, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
960:2x 2x 2x 2x 2x 2x 3x 5
230:2x 5x 23
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 55491456000/(1x400)
LCM = 55491456000/400
LCM = 138728640
Thus, we can understand that the LCM of 824,960,230,305 is 138728640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 824, 960, 230, 305
1. What is the LCM of 824, 960, 230, 305?
Answer: LCM of 824, 960, 230, 305 is 138728640.
2. How to calculate the LCM of 824, 960, 230, 305?
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 824, 960, 230, 305.
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}.