LCM of 672, 304, 390, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 304, 390, 768 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 672, 304, 390, 768. So, keep reading to learn more.
Given numbers are 672,304,390,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,304,390,768 is 6639360.
Find LCM of 672,304,390,768 with Prime Factorization
| 2 | 672, 304, 390, 768 |
| 2 | 336, 152, 195, 384 |
| 2 | 168, 76, 195, 192 |
| 2 | 84, 38, 195, 96 |
| 2 | 42, 19, 195, 48 |
| 3 | 21, 19, 195, 24 |
| 7, 19, 65, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 x 65 x 8 = 6639360
Therefore, the lowest common multiple of 672,304,390,768 is 6639360.
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.
672 x 304 x 390 x 768 = 61188341760
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.
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
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,304,390,768, is 2.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
304:2x 2x 2x 2x 19
390:2x 3x 5x 13
768:2x 2x 2x 2x 2x 2x 2x 2x 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 2x 2x 2x 3x 3 = 4608
Therefore, the value for common factors is 4608.
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 = 61188341760/(2x4608)
LCM = 61188341760/9216
LCM = 6639360
Thus, we can understand that the LCM of 672,304,390,768 is 6639360.
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FAQs on LCM of 672, 304, 390, 768
1. What is the LCM of 672, 304, 390, 768?
Answer: LCM of 672, 304, 390, 768 is 6639360.
2. How to calculate the LCM of 672, 304, 390, 768?
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 672, 304, 390, 768.
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}.