LCM of 768, 896, 164, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 896, 164, 426 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, 896, 164, 426. So, keep reading to learn more.
Given numbers are 768,896,164,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,896,164,426 is 15649536.
Find LCM of 768,896,164,426 with Prime Factorization
| 2 | 768, 896, 164, 426 |
| 2 | 384, 448, 82, 213 |
| 2 | 192, 224, 41, 213 |
| 2 | 96, 112, 41, 213 |
| 2 | 48, 56, 41, 213 |
| 2 | 24, 28, 41, 213 |
| 2 | 12, 14, 41, 213 |
| 3 | 6, 7, 41, 213 |
| 2, 7, 41, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 2 x 7 x 41 x 71 = 15649536
Therefore, the lowest common multiple of 768,896,164,426 is 15649536.
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 896 x 164 x 426 = 48075374592
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
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
164 : 1, 2, 4, 41, 82, 164
426 : 1, 2, 3, 6, 71, 142, 213, 426
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,896,164,426, is 2.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
896:2x 2x 2x 2x 2x 2x 2x 7
164:2x 2x 41
426:2x 3x 71
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 3 = 1536
Therefore, the value for common factors is 1536.
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 = 48075374592/(2x1536)
LCM = 48075374592/3072
LCM = 15649536
Thus, we can understand that the LCM of 768,896,164,426 is 15649536.
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FAQs on LCM of 768, 896, 164, 426
1. What is the LCM of 768, 896, 164, 426?
Answer: LCM of 768, 896, 164, 426 is 15649536.
2. How to calculate the LCM of 768, 896, 164, 426?
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, 896, 164, 426.
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}.