LCM of 6490, 6026
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6490, 6026 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 6490, 6026. So, keep reading to learn more.
Given numbers are 6490,6026
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6490,6026 is 19554370.
Find LCM of 6490,6026 with Prime Factorization
| 2 | 6490, 6026 |
| 3245, 3013 |
Multiply the prime numbers at the bottom and the left side.
2 x 3245 x 3013 = 19554370
Therefore, the lowest common multiple of 6490,6026 is 19554370.
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.
6490 x 6026 = 39108740
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.
6490 : 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490
6026 : 1, 2, 23, 46, 131, 262, 3013, 6026
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6490,6026, is 2.
Now, the common factors can be found like this.
6490:2x 5x 11x 59
6026:2x 23x 131
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 = 39108740/(2x1)
LCM = 39108740/2
LCM = 19554370
Thus, we can understand that the LCM of 6490,6026 is 19554370.
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FAQs on LCM of 6490, 6026
1. What is the LCM of 6490, 6026?
Answer: LCM of 6490, 6026 is 19554370.
2. How to calculate the LCM of 6490, 6026?
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 6490, 6026.
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}.