LCM of 3437, 8064
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3437, 8064 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 3437, 8064. So, keep reading to learn more.
Given numbers are 3437,8064
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3437,8064 is 3959424.
Find LCM of 3437,8064 with Prime Factorization
| 7 | 3437, 8064 |
| 491, 1152 |
Multiply the prime numbers at the bottom and the left side.
7 x 491 x 1152 = 3959424
Therefore, the lowest common multiple of 3437,8064 is 3959424.
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.
3437 x 8064 = 27715968
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.
3437 : 1, 7, 491, 3437
8064 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3437,8064, is 7.
Now, the common factors can be found like this.
3437:7x 491
8064:2x 2x 2x 2x 2x 2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 27715968/(7x1)
LCM = 27715968/7
LCM = 3959424
Thus, we can understand that the LCM of 3437,8064 is 3959424.
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FAQs on LCM of 3437, 8064
1. What is the LCM of 3437, 8064?
Answer: LCM of 3437, 8064 is 3959424.
2. How to calculate the LCM of 3437, 8064?
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 3437, 8064.
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}.