LCM of 230, 672, 838, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 672, 838, 288 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, 672, 838, 288. So, keep reading to learn more.
Given numbers are 230,672,838,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,672,838,288 is 97140960.
Find LCM of 230,672,838,288 with Prime Factorization
| 2 | 230, 672, 838, 288 |
| 2 | 115, 336, 419, 144 |
| 2 | 115, 168, 419, 72 |
| 2 | 115, 84, 419, 36 |
| 2 | 115, 42, 419, 18 |
| 3 | 115, 21, 419, 9 |
| 115, 7, 419, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 115 x 7 x 419 x 3 = 97140960
Therefore, the lowest common multiple of 230,672,838,288 is 97140960.
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 672 x 838 x 288 = 37302128640
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
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
838 : 1, 2, 419, 838
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,672,838,288, is 2.
Now, the common factors can be found like this.
230:2x 5x 23
672:2x 2x 2x 2x 2x 3x 7
838:2x 419
288:2x 2x 2x 2x 2x 3x 3
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 37302128640/(2x192)
LCM = 37302128640/384
LCM = 97140960
Thus, we can understand that the LCM of 230,672,838,288 is 97140960.
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FAQs on LCM of 230, 672, 838, 288
1. What is the LCM of 230, 672, 838, 288?
Answer: LCM of 230, 672, 838, 288 is 97140960.
2. How to calculate the LCM of 230, 672, 838, 288?
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, 672, 838, 288.
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}.