LCM of 230, 969, 460, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 969, 460, 240 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 230, 969, 460, 240. So, keep reading to learn more.
Given numbers are 230,969,460,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,969,460,240 is 1782960.
Find LCM of 230,969,460,240 with Prime Factorization
| 2 | 230, 969, 460, 240 |
| 2 | 115, 969, 230, 120 |
| 3 | 115, 969, 115, 60 |
| 5 | 115, 323, 115, 20 |
| 23 | 23, 323, 23, 4 |
| 1, 323, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 1 x 323 x 1 x 4 = 1782960
Therefore, the lowest common multiple of 230,969,460,240 is 1782960.
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.
230 x 969 x 460 x 240 = 24604848000
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
969 : 1, 3, 17, 19, 51, 57, 323, 969
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,969,460,240, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
969:3x 17x 19
460:2x 2x 5x 23
240:2x 2x 2x 2x 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.
2x 2x 2x 3x 5x 5x 23 = 13800
Therefore, the value for common factors is 13800.
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 = 24604848000/(1x13800)
LCM = 24604848000/13800
LCM = 1782960
Thus, we can understand that the LCM of 230,969,460,240 is 1782960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 969, 460, 240
1. What is the LCM of 230, 969, 460, 240?
Answer: LCM of 230, 969, 460, 240 is 1782960.
2. How to calculate the LCM of 230, 969, 460, 240?
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 230, 969, 460, 240.
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}.