LCM of 768, 678, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 678, 904 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 768, 678, 904. So, keep reading to learn more.
Given numbers are 768,678,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,678,904 is 86784.
Find LCM of 768,678,904 with Prime Factorization
| 2 | 768, 678, 904 |
| 2 | 384, 339, 452 |
| 2 | 192, 339, 226 |
| 3 | 96, 339, 113 |
| 113 | 32, 113, 113 |
| 32, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 113 x 32 x 1 x 1 = 86784
Therefore, the lowest common multiple of 768,678,904 is 86784.
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.
768 x 678 x 904 = 470716416
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
678 : 1, 2, 3, 6, 113, 226, 339, 678
904 : 1, 2, 4, 8, 113, 226, 452, 904
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,678,904, is 2.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
678:2x 3x 113
904:2x 2x 2x 113
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 113 = 2712
Therefore, the value for common factors is 2712.
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 = 470716416/(2x2712)
LCM = 470716416/5424
LCM = 86784
Thus, we can understand that the LCM of 768,678,904 is 86784.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 768, 678, 904
1. What is the LCM of 768, 678, 904?
Answer: LCM of 768, 678, 904 is 86784.
2. How to calculate the LCM of 768, 678, 904?
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 768, 678, 904.
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}.