LCM of 9146, 6256
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9146, 6256 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 9146, 6256. So, keep reading to learn more.
Given numbers are 9146,6256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9146,6256 is 1682864.
Find LCM of 9146,6256 with Prime Factorization
| 2 | 9146, 6256 |
| 17 | 4573, 3128 |
| 269, 184 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 269 x 184 = 1682864
Therefore, the lowest common multiple of 9146,6256 is 1682864.
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.
9146 x 6256 = 57217376
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.
9146 : 1, 2, 17, 34, 269, 538, 4573, 9146
6256 : 1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256
34 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9146,6256, is 34.
Now, the common factors can be found like this.
9146:2x 17x 269
6256:2x 2x 2x 2x 17x 23
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 = 57217376/(34x1)
LCM = 57217376/34
LCM = 1682864
Thus, we can understand that the LCM of 9146,6256 is 1682864.
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FAQs on LCM of 9146, 6256
1. What is the LCM of 9146, 6256?
Answer: LCM of 9146, 6256 is 1682864.
2. How to calculate the LCM of 9146, 6256?
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 9146, 6256.
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}.